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Finding the Fourth Proportional to 10,469.28, 14,447.75 and 5,753.53

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Solution

The fourth proportional to 10,469.28, 14,447.75 and 5,753.53 is: 7,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.28 : 14,447.75 = 5,753.53 : x
  2. Step 2: Convert to fraction form
    10,469.28/14,447.75 = 5,753.53/x
  3. Step 3: Cross multiply
    10,469.28x = 14,447.75 × 5,753.53
  4. Step 4: Simplify right side
    10,469.28x = 83,125,584.71
  5. Step 5: Solve for x
    x = 83,125,584.71/10,469.28
  6. Step 6: Final answer
    x = 7,939.95

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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.