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Finding the Fourth Proportional to 8,096.27, 12,138.18 and 7,272.02

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Solution

The fourth proportional to 8,096.27, 12,138.18 and 7,272.02 is: 10,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.27 : 12,138.18 = 7,272.02 : x
  2. Step 2: Convert to fraction form
    8,096.27/12,138.18 = 7,272.02/x
  3. Step 3: Cross multiply
    8,096.27x = 12,138.18 × 7,272.02
  4. Step 4: Simplify right side
    8,096.27x = 88,269,087.72
  5. Step 5: Solve for x
    x = 88,269,087.72/8,096.27
  6. Step 6: Final answer
    x = 10,902.44

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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.