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Finding the Fourth Proportional to 10,498.20, 15,745.92 and 3,103.44

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Solution

The fourth proportional to 10,498.20, 15,745.92 and 3,103.44 is: 4,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.20 : 15,745.92 = 3,103.44 : x
  2. Step 2: Convert to fraction form
    10,498.20/15,745.92 = 3,103.44/x
  3. Step 3: Cross multiply
    10,498.20x = 15,745.92 × 3,103.44
  4. Step 4: Simplify right side
    10,498.20x = 48,866,517.96
  5. Step 5: Solve for x
    x = 48,866,517.96/10,498.20
  6. Step 6: Final answer
    x = 4,654.75

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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.