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Finding the Fourth Proportional to 8,249.94, 12,374.91 and 2,406.55

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Solution

The fourth proportional to 8,249.94, 12,374.91 and 2,406.55 is: 3,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.94 : 12,374.91 = 2,406.55 : x
  2. Step 2: Convert to fraction form
    8,249.94/12,374.91 = 2,406.55/x
  3. Step 3: Cross multiply
    8,249.94x = 12,374.91 × 2,406.55
  4. Step 4: Simplify right side
    8,249.94x = 29,780,839.66
  5. Step 5: Solve for x
    x = 29,780,839.66/8,249.94
  6. Step 6: Final answer
    x = 3,609.83

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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.