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Finding the Fourth Proportional to 10,311.33, 14,229.90 and 5,835.27

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Solution

The fourth proportional to 10,311.33, 14,229.90 and 5,835.27 is: 8,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.33 : 14,229.90 = 5,835.27 : x
  2. Step 2: Convert to fraction form
    10,311.33/14,229.90 = 5,835.27/x
  3. Step 3: Cross multiply
    10,311.33x = 14,229.90 × 5,835.27
  4. Step 4: Simplify right side
    10,311.33x = 83,035,308.57
  5. Step 5: Solve for x
    x = 83,035,308.57/10,311.33
  6. Step 6: Final answer
    x = 8,052.82

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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.