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Finding the Fourth Proportional to 8,093.17, 12,140.41 and 2,249.78

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Solution

The fourth proportional to 8,093.17, 12,140.41 and 2,249.78 is: 3,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.17 : 12,140.41 = 2,249.78 : x
  2. Step 2: Convert to fraction form
    8,093.17/12,140.41 = 2,249.78/x
  3. Step 3: Cross multiply
    8,093.17x = 12,140.41 × 2,249.78
  4. Step 4: Simplify right side
    8,093.17x = 27,313,251.61
  5. Step 5: Solve for x
    x = 27,313,251.61/8,093.17
  6. Step 6: Final answer
    x = 3,374.85

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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.