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Finding the Fourth Proportional to 10,311.67, 14,229.42 and 5,835.88

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Solution

The fourth proportional to 10,311.67, 14,229.42 and 5,835.88 is: 8,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.67 : 14,229.42 = 5,835.88 : x
  2. Step 2: Convert to fraction form
    10,311.67/14,229.42 = 5,835.88/x
  3. Step 3: Cross multiply
    10,311.67x = 14,229.42 × 5,835.88
  4. Step 4: Simplify right side
    10,311.67x = 83,041,116.44
  5. Step 5: Solve for x
    x = 83,041,116.44/10,311.67
  6. Step 6: Final answer
    x = 8,053.12

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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.