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Finding the Fourth Proportional to 8,230.20, 11,354.85 and 4,644.73

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Solution

The fourth proportional to 8,230.20, 11,354.85 and 4,644.73 is: 6,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.20 : 11,354.85 = 4,644.73 : x
  2. Step 2: Convert to fraction form
    8,230.20/11,354.85 = 4,644.73/x
  3. Step 3: Cross multiply
    8,230.20x = 11,354.85 × 4,644.73
  4. Step 4: Simplify right side
    8,230.20x = 52,740,212.44
  5. Step 5: Solve for x
    x = 52,740,212.44/8,230.20
  6. Step 6: Final answer
    x = 6,408.13

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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.