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Finding the Fourth Proportional to 10,552.56, 15,831.17 and 3,978.80

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Solution

The fourth proportional to 10,552.56, 15,831.17 and 3,978.80 is: 5,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.56 : 15,831.17 = 3,978.80 : x
  2. Step 2: Convert to fraction form
    10,552.56/15,831.17 = 3,978.80/x
  3. Step 3: Cross multiply
    10,552.56x = 15,831.17 × 3,978.80
  4. Step 4: Simplify right side
    10,552.56x = 62,989,059.20
  5. Step 5: Solve for x
    x = 62,989,059.20/10,552.56
  6. Step 6: Final answer
    x = 5,969.08

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