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Finding the Fourth Proportional to 8,249.61, 12,376.17 and 2,405.73

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Solution

The fourth proportional to 8,249.61, 12,376.17 and 2,405.73 is: 3,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.61 : 12,376.17 = 2,405.73 : x
  2. Step 2: Convert to fraction form
    8,249.61/12,376.17 = 2,405.73/x
  3. Step 3: Cross multiply
    8,249.61x = 12,376.17 × 2,405.73
  4. Step 4: Simplify right side
    8,249.61x = 29,773,723.45
  5. Step 5: Solve for x
    x = 29,773,723.45/8,249.61
  6. Step 6: Final answer
    x = 3,609.11

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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.