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Finding the Fourth Proportional to 8,123.34, 12,183.36 and 2,279.22

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Solution

The fourth proportional to 8,123.34, 12,183.36 and 2,279.22 is: 3,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.34 : 12,183.36 = 2,279.22 : x
  2. Step 2: Convert to fraction form
    8,123.34/12,183.36 = 2,279.22/x
  3. Step 3: Cross multiply
    8,123.34x = 12,183.36 × 2,279.22
  4. Step 4: Simplify right side
    8,123.34x = 27,768,557.78
  5. Step 5: Solve for x
    x = 27,768,557.78/8,123.34
  6. Step 6: Final answer
    x = 3,418.37

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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.