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Finding the Fourth Proportional to 8,189.92, 12,286.10 and 2,641.44

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Solution

The fourth proportional to 8,189.92, 12,286.10 and 2,641.44 is: 3,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.92 : 12,286.10 = 2,641.44 : x
  2. Step 2: Convert to fraction form
    8,189.92/12,286.10 = 2,641.44/x
  3. Step 3: Cross multiply
    8,189.92x = 12,286.10 × 2,641.44
  4. Step 4: Simplify right side
    8,189.92x = 32,452,995.98
  5. Step 5: Solve for x
    x = 32,452,995.98/8,189.92
  6. Step 6: Final answer
    x = 3,962.55

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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.