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Finding the Fourth Proportional to 11,205.67, 16,808.52 and 3,414.55

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Solution

The fourth proportional to 11,205.67, 16,808.52 and 3,414.55 is: 5,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.67 : 16,808.52 = 3,414.55 : x
  2. Step 2: Convert to fraction form
    11,205.67/16,808.52 = 3,414.55/x
  3. Step 3: Cross multiply
    11,205.67x = 16,808.52 × 3,414.55
  4. Step 4: Simplify right side
    11,205.67x = 57,393,531.97
  5. Step 5: Solve for x
    x = 57,393,531.97/11,205.67
  6. Step 6: Final answer
    x = 5,121.83

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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.