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Finding the Fourth Proportional to 11,229.67, 15,496.23 and 6,193.61

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Solution

The fourth proportional to 11,229.67, 15,496.23 and 6,193.61 is: 8,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.67 : 15,496.23 = 6,193.61 : x
  2. Step 2: Convert to fraction form
    11,229.67/15,496.23 = 6,193.61/x
  3. Step 3: Cross multiply
    11,229.67x = 15,496.23 × 6,193.61
  4. Step 4: Simplify right side
    11,229.67x = 95,977,605.09
  5. Step 5: Solve for x
    x = 95,977,605.09/11,229.67
  6. Step 6: Final answer
    x = 8,546.79

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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.