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Finding the Fourth Proportional to 8,122.38, 12,183.81 and 2,278.99

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Solution

The fourth proportional to 8,122.38, 12,183.81 and 2,278.99 is: 3,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.38 : 12,183.81 = 2,278.99 : x
  2. Step 2: Convert to fraction form
    8,122.38/12,183.81 = 2,278.99/x
  3. Step 3: Cross multiply
    8,122.38x = 12,183.81 × 2,278.99
  4. Step 4: Simplify right side
    8,122.38x = 27,766,781.15
  5. Step 5: Solve for x
    x = 27,766,781.15/8,122.38
  6. Step 6: Final answer
    x = 3,418.55

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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.