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Finding the Fourth Proportional to 10,406.30, 15,602.15 and 3,831.64

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Solution

The fourth proportional to 10,406.30, 15,602.15 and 3,831.64 is: 5,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.30 : 15,602.15 = 3,831.64 : x
  2. Step 2: Convert to fraction form
    10,406.30/15,602.15 = 3,831.64/x
  3. Step 3: Cross multiply
    10,406.30x = 15,602.15 × 3,831.64
  4. Step 4: Simplify right side
    10,406.30x = 59,781,792.60
  5. Step 5: Solve for x
    x = 59,781,792.60/10,406.30
  6. Step 6: Final answer
    x = 5,744.77

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