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Finding the Fourth Proportional to 10,311.92, 14,229.77 and 5,836.13

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Solution

The fourth proportional to 10,311.92, 14,229.77 and 5,836.13 is: 8,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.92 : 14,229.77 = 5,836.13 : x
  2. Step 2: Convert to fraction form
    10,311.92/14,229.77 = 5,836.13/x
  3. Step 3: Cross multiply
    10,311.92x = 14,229.77 × 5,836.13
  4. Step 4: Simplify right side
    10,311.92x = 83,046,687.26
  5. Step 5: Solve for x
    x = 83,046,687.26/10,311.92
  6. Step 6: Final answer
    x = 8,053.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.