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Finding the Fourth Proportional to 11,197.29, 16,793.23 and 3,297.65

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Solution

The fourth proportional to 11,197.29, 16,793.23 and 3,297.65 is: 4,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.29 : 16,793.23 = 3,297.65 : x
  2. Step 2: Convert to fraction form
    11,197.29/16,793.23 = 3,297.65/x
  3. Step 3: Cross multiply
    11,197.29x = 16,793.23 × 3,297.65
  4. Step 4: Simplify right side
    11,197.29x = 55,378,144.68
  5. Step 5: Solve for x
    x = 55,378,144.68/11,197.29
  6. Step 6: Final answer
    x = 4,945.68

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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.