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Finding the Fourth Proportional to 8,097.38, 12,146.70 and 2,254.46

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Solution

The fourth proportional to 8,097.38, 12,146.70 and 2,254.46 is: 3,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.38 : 12,146.70 = 2,254.46 : x
  2. Step 2: Convert to fraction form
    8,097.38/12,146.70 = 2,254.46/x
  3. Step 3: Cross multiply
    8,097.38x = 12,146.70 × 2,254.46
  4. Step 4: Simplify right side
    8,097.38x = 27,384,249.28
  5. Step 5: Solve for x
    x = 27,384,249.28/8,097.38
  6. Step 6: Final answer
    x = 3,381.87

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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.