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Finding the Fourth Proportional to 7,752.56, 11,617.80 and 5,769.20

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Solution

The fourth proportional to 7,752.56, 11,617.80 and 5,769.20 is: 8,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.56 : 11,617.80 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    7,752.56/11,617.80 = 5,769.20/x
  3. Step 3: Cross multiply
    7,752.56x = 11,617.80 × 5,769.20
  4. Step 4: Simplify right side
    7,752.56x = 67,025,411.76
  5. Step 5: Solve for x
    x = 67,025,411.76/7,752.56
  6. Step 6: Final answer
    x = 8,645.58

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