A number multiplied by 3/4 of itself gives 10800. The number is:

Let the unknown number be 'N'. The problem states that the number multiplied by 3/4 of itself gives 10800. This can be written as an equation: N * (3/4)N = 10800.

Simplifying the equation, we get (3/4)N² = 10800. To solve for N², multiply both sides by 4/3: N² = 10800 * (4/3). This simplifies to N² = 3600 * 4, which means N² = 14400.

Finally, to find N, take the square root of 14400: N = √14400. The square root of 14400 is 120. Therefore, the number is 120.