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Finding the Fourth Proportional to 8,149.38, 12,228.12 and 3,767.82

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Solution

The fourth proportional to 8,149.38, 12,228.12 and 3,767.82 is: 5,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.38 : 12,228.12 = 3,767.82 : x
  2. Step 2: Convert to fraction form
    8,149.38/12,228.12 = 3,767.82/x
  3. Step 3: Cross multiply
    8,149.38x = 12,228.12 × 3,767.82
  4. Step 4: Simplify right side
    8,149.38x = 46,073,355.10
  5. Step 5: Solve for x
    x = 46,073,355.10/8,149.38
  6. Step 6: Final answer
    x = 5,653.60

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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.