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Finding the Fourth Proportional to 10,805.35, 16,214.17 and 8,627.92

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Solution

The fourth proportional to 10,805.35, 16,214.17 and 8,627.92 is: 12,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.35 : 16,214.17 = 8,627.92 : x
  2. Step 2: Convert to fraction form
    10,805.35/16,214.17 = 8,627.92/x
  3. Step 3: Cross multiply
    10,805.35x = 16,214.17 × 8,627.92
  4. Step 4: Simplify right side
    10,805.35x = 139,894,542.66
  5. Step 5: Solve for x
    x = 139,894,542.66/10,805.35
  6. Step 6: Final answer
    x = 12,946.78

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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.