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Finding the Fourth Proportional to 8,609.42, 12,915.98 and 2,766

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Solution

The fourth proportional to 8,609.42, 12,915.98 and 2,766 is: 4,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.42 : 12,915.98 = 2,766 : x
  2. Step 2: Convert to fraction form
    8,609.42/12,915.98 = 2,766/x
  3. Step 3: Cross multiply
    8,609.42x = 12,915.98 × 2,766
  4. Step 4: Simplify right side
    8,609.42x = 35,725,600.68
  5. Step 5: Solve for x
    x = 35,725,600.68/8,609.42
  6. Step 6: Final answer
    x = 4,149.59

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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.