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Finding the Fourth Proportional to 8,144.75, 12,217.14 and 2,672.75

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Solution

The fourth proportional to 8,144.75, 12,217.14 and 2,672.75 is: 4,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.75 : 12,217.14 = 2,672.75 : x
  2. Step 2: Convert to fraction form
    8,144.75/12,217.14 = 2,672.75/x
  3. Step 3: Cross multiply
    8,144.75x = 12,217.14 × 2,672.75
  4. Step 4: Simplify right side
    8,144.75x = 32,653,360.94
  5. Step 5: Solve for x
    x = 32,653,360.94/8,144.75
  6. Step 6: Final answer
    x = 4,009.13

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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.