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Finding the Fourth Proportional to 8,227.23, 12,337.63 and 2,679.23

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Solution

The fourth proportional to 8,227.23, 12,337.63 and 2,679.23 is: 4,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.23 : 12,337.63 = 2,679.23 : x
  2. Step 2: Convert to fraction form
    8,227.23/12,337.63 = 2,679.23/x
  3. Step 3: Cross multiply
    8,227.23x = 12,337.63 × 2,679.23
  4. Step 4: Simplify right side
    8,227.23x = 33,055,348.42
  5. Step 5: Solve for x
    x = 33,055,348.42/8,227.23
  6. Step 6: Final answer
    x = 4,017.80

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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.