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Finding the Fourth Proportional to 10,092.24, 15,138.20 and 3,072.24

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Solution

The fourth proportional to 10,092.24, 15,138.20 and 3,072.24 is: 4,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.24 : 15,138.20 = 3,072.24 : x
  2. Step 2: Convert to fraction form
    10,092.24/15,138.20 = 3,072.24/x
  3. Step 3: Cross multiply
    10,092.24x = 15,138.20 × 3,072.24
  4. Step 4: Simplify right side
    10,092.24x = 46,508,183.57
  5. Step 5: Solve for x
    x = 46,508,183.57/10,092.24
  6. Step 6: Final answer
    x = 4,608.31

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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.