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Finding the Fourth Proportional to 10,406.12, 15,601.88 and 3,831.44

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Solution

The fourth proportional to 10,406.12, 15,601.88 and 3,831.44 is: 5,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.12 : 15,601.88 = 3,831.44 : x
  2. Step 2: Convert to fraction form
    10,406.12/15,601.88 = 3,831.44/x
  3. Step 3: Cross multiply
    10,406.12x = 15,601.88 × 3,831.44
  4. Step 4: Simplify right side
    10,406.12x = 59,777,569.94
  5. Step 5: Solve for x
    x = 59,777,569.94/10,406.12
  6. Step 6: Final answer
    x = 5,744.47

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