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Finding the Fourth Proportional to 8,217.96, 12,311.31 and 4,879.14

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Solution

The fourth proportional to 8,217.96, 12,311.31 and 4,879.14 is: 7,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.96 : 12,311.31 = 4,879.14 : x
  2. Step 2: Convert to fraction form
    8,217.96/12,311.31 = 4,879.14/x
  3. Step 3: Cross multiply
    8,217.96x = 12,311.31 × 4,879.14
  4. Step 4: Simplify right side
    8,217.96x = 60,068,605.07
  5. Step 5: Solve for x
    x = 60,068,605.07/8,217.96
  6. Step 6: Final answer
    x = 7,309.43

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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.