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Finding the Fourth Proportional to 10,717.16, 16,086.13 and 5,174.41

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Solution

The fourth proportional to 10,717.16, 16,086.13 and 5,174.41 is: 7,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.16 : 16,086.13 = 5,174.41 : x
  2. Step 2: Convert to fraction form
    10,717.16/16,086.13 = 5,174.41/x
  3. Step 3: Cross multiply
    10,717.16x = 16,086.13 × 5,174.41
  4. Step 4: Simplify right side
    10,717.16x = 83,236,231.93
  5. Step 5: Solve for x
    x = 83,236,231.93/10,717.16
  6. Step 6: Final answer
    x = 7,766.63

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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.