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Finding the Fourth Proportional to 11,627.50, 17,452.11 and 9,046.78

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Solution

The fourth proportional to 11,627.50, 17,452.11 and 9,046.78 is: 13,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.50 : 17,452.11 = 9,046.78 : x
  2. Step 2: Convert to fraction form
    11,627.50/17,452.11 = 9,046.78/x
  3. Step 3: Cross multiply
    11,627.50x = 17,452.11 × 9,046.78
  4. Step 4: Simplify right side
    11,627.50x = 157,885,399.71
  5. Step 5: Solve for x
    x = 157,885,399.71/11,627.50
  6. Step 6: Final answer
    x = 13,578.62

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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.