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Finding the Fourth Proportional to 7,528.64, 11,286.24 and 3,828.80

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Solution

The fourth proportional to 7,528.64, 11,286.24 and 3,828.80 is: 5,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528.64 : 11,286.24 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    7,528.64/11,286.24 = 3,828.80/x
  3. Step 3: Cross multiply
    7,528.64x = 11,286.24 × 3,828.80
  4. Step 4: Simplify right side
    7,528.64x = 43,212,755.71
  5. Step 5: Solve for x
    x = 43,212,755.71/7,528.64
  6. Step 6: Final answer
    x = 5,739.78

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