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Finding the Fourth Proportional to 8,493.14, 12,734.75 and 2,568.26

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Solution

The fourth proportional to 8,493.14, 12,734.75 and 2,568.26 is: 3,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.14 : 12,734.75 = 2,568.26 : x
  2. Step 2: Convert to fraction form
    8,493.14/12,734.75 = 2,568.26/x
  3. Step 3: Cross multiply
    8,493.14x = 12,734.75 × 2,568.26
  4. Step 4: Simplify right side
    8,493.14x = 32,706,149.04
  5. Step 5: Solve for x
    x = 32,706,149.04/8,493.14
  6. Step 6: Final answer
    x = 3,850.89

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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.