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Finding the Fourth Proportional to 11,819.38, 16,310.12 and 6,513.20

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Solution

The fourth proportional to 11,819.38, 16,310.12 and 6,513.20 is: 8,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.38 : 16,310.12 = 6,513.20 : x
  2. Step 2: Convert to fraction form
    11,819.38/16,310.12 = 6,513.20/x
  3. Step 3: Cross multiply
    11,819.38x = 16,310.12 × 6,513.20
  4. Step 4: Simplify right side
    11,819.38x = 106,231,073.58
  5. Step 5: Solve for x
    x = 106,231,073.58/11,819.38
  6. Step 6: Final answer
    x = 8,987.87

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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.