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Finding the Fourth Proportional to 11,906.52, 17,887.14 and 8,404.62

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Solution

The fourth proportional to 11,906.52, 17,887.14 and 8,404.62 is: 12,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.52 : 17,887.14 = 8,404.62 : x
  2. Step 2: Convert to fraction form
    11,906.52/17,887.14 = 8,404.62/x
  3. Step 3: Cross multiply
    11,906.52x = 17,887.14 × 8,404.62
  4. Step 4: Simplify right side
    11,906.52x = 150,334,614.59
  5. Step 5: Solve for x
    x = 150,334,614.59/11,906.52
  6. Step 6: Final answer
    x = 12,626.24

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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.