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Finding the Fourth Proportional to 10,727.62, 16,078.99 and 6,348.76

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Solution

The fourth proportional to 10,727.62, 16,078.99 and 6,348.76 is: 9,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.62 : 16,078.99 = 6,348.76 : x
  2. Step 2: Convert to fraction form
    10,727.62/16,078.99 = 6,348.76/x
  3. Step 3: Cross multiply
    10,727.62x = 16,078.99 × 6,348.76
  4. Step 4: Simplify right side
    10,727.62x = 102,081,648.55
  5. Step 5: Solve for x
    x = 102,081,648.55/10,727.62
  6. Step 6: Final answer
    x = 9,515.78

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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.