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Finding the Fourth Proportional to 11,197.75, 15,452.91 and 6,229.75

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Solution

The fourth proportional to 11,197.75, 15,452.91 and 6,229.75 is: 8,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.75 : 15,452.91 = 6,229.75 : x
  2. Step 2: Convert to fraction form
    11,197.75/15,452.91 = 6,229.75/x
  3. Step 3: Cross multiply
    11,197.75x = 15,452.91 × 6,229.75
  4. Step 4: Simplify right side
    11,197.75x = 96,267,766.07
  5. Step 5: Solve for x
    x = 96,267,766.07/11,197.75
  6. Step 6: Final answer
    x = 8,597.06

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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.