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Finding the Fourth Proportional to 12,311.13, 18,469.05 and 5,291.13

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Solution

The fourth proportional to 12,311.13, 18,469.05 and 5,291.13 is: 7,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.13 : 18,469.05 = 5,291.13 : x
  2. Step 2: Convert to fraction form
    12,311.13/18,469.05 = 5,291.13/x
  3. Step 3: Cross multiply
    12,311.13x = 18,469.05 × 5,291.13
  4. Step 4: Simplify right side
    12,311.13x = 97,722,144.53
  5. Step 5: Solve for x
    x = 97,722,144.53/12,311.13
  6. Step 6: Final answer
    x = 7,937.71

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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.