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Finding the Fourth Proportional to 8,096.12, 12,144.20 and 2,252.74

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Solution

The fourth proportional to 8,096.12, 12,144.20 and 2,252.74 is: 3,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.12 : 12,144.20 = 2,252.74 : x
  2. Step 2: Convert to fraction form
    8,096.12/12,144.20 = 2,252.74/x
  3. Step 3: Cross multiply
    8,096.12x = 12,144.20 × 2,252.74
  4. Step 4: Simplify right side
    8,096.12x = 27,357,725.11
  5. Step 5: Solve for x
    x = 27,357,725.11/8,096.12
  6. Step 6: Final answer
    x = 3,379.12

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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.