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Finding the Fourth Proportional to 11,654.30, 17,478.96 and 3,757.52

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Solution

The fourth proportional to 11,654.30, 17,478.96 and 3,757.52 is: 5,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.30 : 17,478.96 = 3,757.52 : x
  2. Step 2: Convert to fraction form
    11,654.30/17,478.96 = 3,757.52/x
  3. Step 3: Cross multiply
    11,654.30x = 17,478.96 × 3,757.52
  4. Step 4: Simplify right side
    11,654.30x = 65,677,454.38
  5. Step 5: Solve for x
    x = 65,677,454.38/11,654.30
  6. Step 6: Final answer
    x = 5,635.47

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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.