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Finding the Fourth Proportional to 10,591.82, 15,877.90 and 4,013.61

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Solution

The fourth proportional to 10,591.82, 15,877.90 and 4,013.61 is: 6,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.82 : 15,877.90 = 4,013.61 : x
  2. Step 2: Convert to fraction form
    10,591.82/15,877.90 = 4,013.61/x
  3. Step 3: Cross multiply
    10,591.82x = 15,877.90 × 4,013.61
  4. Step 4: Simplify right side
    10,591.82x = 63,727,698.22
  5. Step 5: Solve for x
    x = 63,727,698.22/10,591.82
  6. Step 6: Final answer
    x = 6,016.69

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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.