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Finding the Fourth Proportional to 8,238.72, 12,370.39 and 8,115.71

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Solution

The fourth proportional to 8,238.72, 12,370.39 and 8,115.71 is: 12,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.72 : 12,370.39 = 8,115.71 : x
  2. Step 2: Convert to fraction form
    8,238.72/12,370.39 = 8,115.71/x
  3. Step 3: Cross multiply
    8,238.72x = 12,370.39 × 8,115.71
  4. Step 4: Simplify right side
    8,238.72x = 100,394,508.46
  5. Step 5: Solve for x
    x = 100,394,508.46/8,238.72
  6. Step 6: Final answer
    x = 12,185.69

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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.