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Finding the Fourth Proportional to 8,234.12, 12,351.15 and 3,854.66

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Solution

The fourth proportional to 8,234.12, 12,351.15 and 3,854.66 is: 5,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.12 : 12,351.15 = 3,854.66 : x
  2. Step 2: Convert to fraction form
    8,234.12/12,351.15 = 3,854.66/x
  3. Step 3: Cross multiply
    8,234.12x = 12,351.15 × 3,854.66
  4. Step 4: Simplify right side
    8,234.12x = 47,609,422.10
  5. Step 5: Solve for x
    x = 47,609,422.10/8,234.12
  6. Step 6: Final answer
    x = 5,781.97

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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.