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Finding the Fourth Proportional to 10,474.97, 15,711.48 and 4,233.20

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Solution

The fourth proportional to 10,474.97, 15,711.48 and 4,233.20 is: 6,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.97 : 15,711.48 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    10,474.97/15,711.48 = 4,233.20/x
  3. Step 3: Cross multiply
    10,474.97x = 15,711.48 × 4,233.20
  4. Step 4: Simplify right side
    10,474.97x = 66,509,876.41
  5. Step 5: Solve for x
    x = 66,509,876.41/10,474.97
  6. Step 6: Final answer
    x = 6,349.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.