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Finding the Fourth Proportional to 8,094.70, 12,142.14 and 2,251.78

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Solution

The fourth proportional to 8,094.70, 12,142.14 and 2,251.78 is: 3,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.70 : 12,142.14 = 2,251.78 : x
  2. Step 2: Convert to fraction form
    8,094.70/12,142.14 = 2,251.78/x
  3. Step 3: Cross multiply
    8,094.70x = 12,142.14 × 2,251.78
  4. Step 4: Simplify right side
    8,094.70x = 27,341,428.01
  5. Step 5: Solve for x
    x = 27,341,428.01/8,094.70
  6. Step 6: Final answer
    x = 3,377.70

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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.