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Finding the Fourth Proportional to 10,687.82, 16,034.49 and 4,445.82

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Solution

The fourth proportional to 10,687.82, 16,034.49 and 4,445.82 is: 6,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.82 : 16,034.49 = 4,445.82 : x
  2. Step 2: Convert to fraction form
    10,687.82/16,034.49 = 4,445.82/x
  3. Step 3: Cross multiply
    10,687.82x = 16,034.49 × 4,445.82
  4. Step 4: Simplify right side
    10,687.82x = 71,286,456.33
  5. Step 5: Solve for x
    x = 71,286,456.33/10,687.82
  6. Step 6: Final answer
    x = 6,669.88

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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.