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Finding the Fourth Proportional to 8,096.68, 12,143.62 and 2,253.88

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Solution

The fourth proportional to 8,096.68, 12,143.62 and 2,253.88 is: 3,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.68 : 12,143.62 = 2,253.88 : x
  2. Step 2: Convert to fraction form
    8,096.68/12,143.62 = 2,253.88/x
  3. Step 3: Cross multiply
    8,096.68x = 12,143.62 × 2,253.88
  4. Step 4: Simplify right side
    8,096.68x = 27,370,262.25
  5. Step 5: Solve for x
    x = 27,370,262.25/8,096.68
  6. Step 6: Final answer
    x = 3,380.43

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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.