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Finding the Fourth Proportional to 11,504.92, 15,882.12 and 8,150.44

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Solution

The fourth proportional to 11,504.92, 15,882.12 and 8,150.44 is: 11,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.92 : 15,882.12 = 8,150.44 : x
  2. Step 2: Convert to fraction form
    11,504.92/15,882.12 = 8,150.44/x
  3. Step 3: Cross multiply
    11,504.92x = 15,882.12 × 8,150.44
  4. Step 4: Simplify right side
    11,504.92x = 129,446,266.13
  5. Step 5: Solve for x
    x = 129,446,266.13/11,504.92
  6. Step 6: Final answer
    x = 11,251.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.