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Finding the Fourth Proportional to 8,254.15, 12,371.92 and 4,097.14

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Solution

The fourth proportional to 8,254.15, 12,371.92 and 4,097.14 is: 6,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.15 : 12,371.92 = 4,097.14 : x
  2. Step 2: Convert to fraction form
    8,254.15/12,371.92 = 4,097.14/x
  3. Step 3: Cross multiply
    8,254.15x = 12,371.92 × 4,097.14
  4. Step 4: Simplify right side
    8,254.15x = 50,689,447.14
  5. Step 5: Solve for x
    x = 50,689,447.14/8,254.15
  6. Step 6: Final answer
    x = 6,141.09

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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.