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Finding the Fourth Proportional to 10,767.85, 16,117.22 and 5,757.71

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Solution

The fourth proportional to 10,767.85, 16,117.22 and 5,757.71 is: 8,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.85 : 16,117.22 = 5,757.71 : x
  2. Step 2: Convert to fraction form
    10,767.85/16,117.22 = 5,757.71/x
  3. Step 3: Cross multiply
    10,767.85x = 16,117.22 × 5,757.71
  4. Step 4: Simplify right side
    10,767.85x = 92,798,217.42
  5. Step 5: Solve for x
    x = 92,798,217.42/10,767.85
  6. Step 6: Final answer
    x = 8,618.08

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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.