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Finding the Fourth Proportional to 8,096.87, 12,146.46 and 3,937.12

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Solution

The fourth proportional to 8,096.87, 12,146.46 and 3,937.12 is: 5,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.87 : 12,146.46 = 3,937.12 : x
  2. Step 2: Convert to fraction form
    8,096.87/12,146.46 = 3,937.12/x
  3. Step 3: Cross multiply
    8,096.87x = 12,146.46 × 3,937.12
  4. Step 4: Simplify right side
    8,096.87x = 47,822,070.60
  5. Step 5: Solve for x
    x = 47,822,070.60/8,096.87
  6. Step 6: Final answer
    x = 5,906.24

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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.