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Finding the Fourth Proportional to 8,311.29, 11,469.18 and 4,534.23

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Solution

The fourth proportional to 8,311.29, 11,469.18 and 4,534.23 is: 6,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.29 : 11,469.18 = 4,534.23 : x
  2. Step 2: Convert to fraction form
    8,311.29/11,469.18 = 4,534.23/x
  3. Step 3: Cross multiply
    8,311.29x = 11,469.18 × 4,534.23
  4. Step 4: Simplify right side
    8,311.29x = 52,003,930.04
  5. Step 5: Solve for x
    x = 52,003,930.04/8,311.29
  6. Step 6: Final answer
    x = 6,257.02

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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.