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Finding the Fourth Proportional to 8,105.83, 12,146.59 and 6,254.17

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Solution

The fourth proportional to 8,105.83, 12,146.59 and 6,254.17 is: 9,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.83 : 12,146.59 = 6,254.17 : x
  2. Step 2: Convert to fraction form
    8,105.83/12,146.59 = 6,254.17/x
  3. Step 3: Cross multiply
    8,105.83x = 12,146.59 × 6,254.17
  4. Step 4: Simplify right side
    8,105.83x = 75,966,838.78
  5. Step 5: Solve for x
    x = 75,966,838.78/8,105.83
  6. Step 6: Final answer
    x = 9,371.88

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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.