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Finding the Fourth Proportional to 11,657.72, 17,489.32 and 3,337.88

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Solution

The fourth proportional to 11,657.72, 17,489.32 and 3,337.88 is: 5,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.72 : 17,489.32 = 3,337.88 : x
  2. Step 2: Convert to fraction form
    11,657.72/17,489.32 = 3,337.88/x
  3. Step 3: Cross multiply
    11,657.72x = 17,489.32 × 3,337.88
  4. Step 4: Simplify right side
    11,657.72x = 58,377,251.44
  5. Step 5: Solve for x
    x = 58,377,251.44/11,657.72
  6. Step 6: Final answer
    x = 5,007.60

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Why These Related Problems?

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