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Finding the Fourth Proportional to 8,311.23, 12,469.01 and 6,832.89

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Solution

The fourth proportional to 8,311.23, 12,469.01 and 6,832.89 is: 10,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.23 : 12,469.01 = 6,832.89 : x
  2. Step 2: Convert to fraction form
    8,311.23/12,469.01 = 6,832.89/x
  3. Step 3: Cross multiply
    8,311.23x = 12,469.01 × 6,832.89
  4. Step 4: Simplify right side
    8,311.23x = 85,199,339.57
  5. Step 5: Solve for x
    x = 85,199,339.57/8,311.23
  6. Step 6: Final answer
    x = 10,251.11

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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.