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Finding the Fourth Proportional to 11,512.96, 17,229.12 and 8,584

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Solution

The fourth proportional to 11,512.96, 17,229.12 and 8,584 is: 12,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.96 : 17,229.12 = 8,584 : x
  2. Step 2: Convert to fraction form
    11,512.96/17,229.12 = 8,584/x
  3. Step 3: Cross multiply
    11,512.96x = 17,229.12 × 8,584
  4. Step 4: Simplify right side
    11,512.96x = 147,894,766.08
  5. Step 5: Solve for x
    x = 147,894,766.08/11,512.96
  6. Step 6: Final answer
    x = 12,845.94

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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.