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Finding the Fourth Proportional to 10,294.62, 15,440.49 and 4,059.24

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Solution

The fourth proportional to 10,294.62, 15,440.49 and 4,059.24 is: 6,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.62 : 15,440.49 = 4,059.24 : x
  2. Step 2: Convert to fraction form
    10,294.62/15,440.49 = 4,059.24/x
  3. Step 3: Cross multiply
    10,294.62x = 15,440.49 × 4,059.24
  4. Step 4: Simplify right side
    10,294.62x = 62,676,654.63
  5. Step 5: Solve for x
    x = 62,676,654.63/10,294.62
  6. Step 6: Final answer
    x = 6,088.29

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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.