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Finding the Fourth Proportional to 8,167.91, 12,257.33 and 3,489.01

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Solution

The fourth proportional to 8,167.91, 12,257.33 and 3,489.01 is: 5,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.91 : 12,257.33 = 3,489.01 : x
  2. Step 2: Convert to fraction form
    8,167.91/12,257.33 = 3,489.01/x
  3. Step 3: Cross multiply
    8,167.91x = 12,257.33 × 3,489.01
  4. Step 4: Simplify right side
    8,167.91x = 42,765,944.82
  5. Step 5: Solve for x
    x = 42,765,944.82/8,167.91
  6. Step 6: Final answer
    x = 5,235.85

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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.