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Finding the Fourth Proportional to 8,096.68, 12,144.38 and 2,902.68

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Solution

The fourth proportional to 8,096.68, 12,144.38 and 2,902.68 is: 4,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.68 : 12,144.38 = 2,902.68 : x
  2. Step 2: Convert to fraction form
    8,096.68/12,144.38 = 2,902.68/x
  3. Step 3: Cross multiply
    8,096.68x = 12,144.38 × 2,902.68
  4. Step 4: Simplify right side
    8,096.68x = 35,251,248.94
  5. Step 5: Solve for x
    x = 35,251,248.94/8,096.68
  6. Step 6: Final answer
    x = 4,353.79

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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.