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Finding the Fourth Proportional to 10,183.68, 15,270.72 and 3,256.32

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Solution

The fourth proportional to 10,183.68, 15,270.72 and 3,256.32 is: 4,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.68 : 15,270.72 = 3,256.32 : x
  2. Step 2: Convert to fraction form
    10,183.68/15,270.72 = 3,256.32/x
  3. Step 3: Cross multiply
    10,183.68x = 15,270.72 × 3,256.32
  4. Step 4: Simplify right side
    10,183.68x = 49,726,350.95
  5. Step 5: Solve for x
    x = 49,726,350.95/10,183.68
  6. Step 6: Final answer
    x = 4,882.95

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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.