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Finding the Fourth Proportional to 8,454.38, 12,682.98 and 2,609.82

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Solution

The fourth proportional to 8,454.38, 12,682.98 and 2,609.82 is: 3,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.38 : 12,682.98 = 2,609.82 : x
  2. Step 2: Convert to fraction form
    8,454.38/12,682.98 = 2,609.82/x
  3. Step 3: Cross multiply
    8,454.38x = 12,682.98 × 2,609.82
  4. Step 4: Simplify right side
    8,454.38x = 33,100,294.86
  5. Step 5: Solve for x
    x = 33,100,294.86/8,454.38
  6. Step 6: Final answer
    x = 3,915.17

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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.