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Finding the Fourth Proportional to 8,161.96, 12,246.40 and 4,459.86

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Solution

The fourth proportional to 8,161.96, 12,246.40 and 4,459.86 is: 6,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.96 : 12,246.40 = 4,459.86 : x
  2. Step 2: Convert to fraction form
    8,161.96/12,246.40 = 4,459.86/x
  3. Step 3: Cross multiply
    8,161.96x = 12,246.40 × 4,459.86
  4. Step 4: Simplify right side
    8,161.96x = 54,617,207.20
  5. Step 5: Solve for x
    x = 54,617,207.20/8,161.96
  6. Step 6: Final answer
    x = 6,691.68

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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.