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Finding the Fourth Proportional to 10,792.97, 16,179.86 and 4,217.66

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Solution

The fourth proportional to 10,792.97, 16,179.86 and 4,217.66 is: 6,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.97 : 16,179.86 = 4,217.66 : x
  2. Step 2: Convert to fraction form
    10,792.97/16,179.86 = 4,217.66/x
  3. Step 3: Cross multiply
    10,792.97x = 16,179.86 × 4,217.66
  4. Step 4: Simplify right side
    10,792.97x = 68,241,046.34
  5. Step 5: Solve for x
    x = 68,241,046.34/10,792.97
  6. Step 6: Final answer
    x = 6,322.73

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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.