Like
@gooffeyguy stated, axle ratio plays a part.
What year is your Tahoe? Makes a difference if it's a 4l65E or 6L80E
What engine?
I believe the 7100 lbs you are seeing might be the GVWR of the Tahoe..meaning the max weight of the Tahoe with whatever is inside or connected.
Where your limits come into play is your GAWR or Gross Axle Weight Rating. I believe the rear GAWR is 4200 lbs, check the door sticker.
Take your Tahoe to the scales and get it weighed with a full tank and you in the driver's seat. Then get another weight with your family inside. Get on the scales so each axle is on a seperate scale.
Now you know how much you have left to add to the Tahoe. Figure about 10-15% of the trailer weight to give your tongue weight. This is where a weight distributing hitch helps as it will put about 200-300 lbs back on the front axle...maybe more.
If you are worried about getting pulled over, the cop is more than likely to ensure you aren't over axle weight, then make sure the tires and receiver are the proper weight rating. He's not likely going to care what the Trailering Guide says about your tow rating.
Your tow rating in the eyes of the law, is your axle rating, tire load rating and maybe if you have any GCWR on your registration.
Sorry to get long winded if you already know this.