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Finding the Fourth Proportional to 11,819.73, 16,310.25 and 6,514.38

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Solution

The fourth proportional to 11,819.73, 16,310.25 and 6,514.38 is: 8,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.73 : 16,310.25 = 6,514.38 : x
  2. Step 2: Convert to fraction form
    11,819.73/16,310.25 = 6,514.38/x
  3. Step 3: Cross multiply
    11,819.73x = 16,310.25 × 6,514.38
  4. Step 4: Simplify right side
    11,819.73x = 106,251,166.40
  5. Step 5: Solve for x
    x = 106,251,166.40/11,819.73
  6. Step 6: Final answer
    x = 8,989.31

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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.