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Finding the Fourth Proportional to 10,138.92, 15,208.24 and 3,213.44

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Solution

The fourth proportional to 10,138.92, 15,208.24 and 3,213.44 is: 4,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.92 : 15,208.24 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    10,138.92/15,208.24 = 3,213.44/x
  3. Step 3: Cross multiply
    10,138.92x = 15,208.24 × 3,213.44
  4. Step 4: Simplify right side
    10,138.92x = 48,870,766.75
  5. Step 5: Solve for x
    x = 48,870,766.75/10,138.92
  6. Step 6: Final answer
    x = 4,820.12

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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.