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Finding the Fourth Proportional to 10,137.28, 13,989.54 and 5,831.02

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Solution

The fourth proportional to 10,137.28, 13,989.54 and 5,831.02 is: 8,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.28 : 13,989.54 = 5,831.02 : x
  2. Step 2: Convert to fraction form
    10,137.28/13,989.54 = 5,831.02/x
  3. Step 3: Cross multiply
    10,137.28x = 13,989.54 × 5,831.02
  4. Step 4: Simplify right side
    10,137.28x = 81,573,287.53
  5. Step 5: Solve for x
    x = 81,573,287.53/10,137.28
  6. Step 6: Final answer
    x = 8,046.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.