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Finding the Fourth Proportional to 10,247.68, 15,371.16 and 3,322

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Solution

The fourth proportional to 10,247.68, 15,371.16 and 3,322 is: 4,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.68 : 15,371.16 = 3,322 : x
  2. Step 2: Convert to fraction form
    10,247.68/15,371.16 = 3,322/x
  3. Step 3: Cross multiply
    10,247.68x = 15,371.16 × 3,322
  4. Step 4: Simplify right side
    10,247.68x = 51,062,993.52
  5. Step 5: Solve for x
    x = 51,062,993.52/10,247.68
  6. Step 6: Final answer
    x = 4,982.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.