Can a lift truck with 5000 pound capacity at a 24 inch load center whose center is 28 inches from the front face of the forks carry over 5000 pounds?

No, a lift truck with a 5,000-pound capacity at a 24-inch load center is designed to safely handle loads up to that weight only when the center of gravity of the load is at the specified load center. If the center of the load is 28 inches from the front face of the forks, this shifts the center of gravity beyond the rated capacity, making it unsafe to carry over 5,000 pounds. Exceeding this weight could compromise stability and safety.