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Finding the Fourth Proportional to 10,805.20, 16,205.97 and 3,012.19

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Solution

The fourth proportional to 10,805.20, 16,205.97 and 3,012.19 is: 4,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.20 : 16,205.97 = 3,012.19 : x
  2. Step 2: Convert to fraction form
    10,805.20/16,205.97 = 3,012.19/x
  3. Step 3: Cross multiply
    10,805.20x = 16,205.97 × 3,012.19
  4. Step 4: Simplify right side
    10,805.20x = 48,815,431.56
  5. Step 5: Solve for x
    x = 48,815,431.56/10,805.20
  6. Step 6: Final answer
    x = 4,517.77

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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.