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Finding the Fourth Proportional to 8,452.82, 12,680.67 and 2,609.30

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Solution

The fourth proportional to 8,452.82, 12,680.67 and 2,609.30 is: 3,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.82 : 12,680.67 = 2,609.30 : x
  2. Step 2: Convert to fraction form
    8,452.82/12,680.67 = 2,609.30/x
  3. Step 3: Cross multiply
    8,452.82x = 12,680.67 × 2,609.30
  4. Step 4: Simplify right side
    8,452.82x = 33,087,672.23
  5. Step 5: Solve for x
    x = 33,087,672.23/8,452.82
  6. Step 6: Final answer
    x = 3,914.39

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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.