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Finding the Fourth Proportional to 11,819.49, 16,310.49 and 6,514.31

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Solution

The fourth proportional to 11,819.49, 16,310.49 and 6,514.31 is: 8,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.49 : 16,310.49 = 6,514.31 : x
  2. Step 2: Convert to fraction form
    11,819.49/16,310.49 = 6,514.31/x
  3. Step 3: Cross multiply
    11,819.49x = 16,310.49 × 6,514.31
  4. Step 4: Simplify right side
    11,819.49x = 106,251,506.56
  5. Step 5: Solve for x
    x = 106,251,506.56/11,819.49
  6. Step 6: Final answer
    x = 8,989.52

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