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Finding the Fourth Proportional to 8,096.49, 12,144.60 and 2,252.61

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Solution

The fourth proportional to 8,096.49, 12,144.60 and 2,252.61 is: 3,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.49 : 12,144.60 = 2,252.61 : x
  2. Step 2: Convert to fraction form
    8,096.49/12,144.60 = 2,252.61/x
  3. Step 3: Cross multiply
    8,096.49x = 12,144.60 × 2,252.61
  4. Step 4: Simplify right side
    8,096.49x = 27,357,047.41
  5. Step 5: Solve for x
    x = 27,357,047.41/8,096.49
  6. Step 6: Final answer
    x = 3,378.88

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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.