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Finding the Fourth Proportional to 10,213.44, 15,322.56 and 3,287.68

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Solution

The fourth proportional to 10,213.44, 15,322.56 and 3,287.68 is: 4,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.44 : 15,322.56 = 3,287.68 : x
  2. Step 2: Convert to fraction form
    10,213.44/15,322.56 = 3,287.68/x
  3. Step 3: Cross multiply
    10,213.44x = 15,322.56 × 3,287.68
  4. Step 4: Simplify right side
    10,213.44x = 50,375,674.06
  5. Step 5: Solve for x
    x = 50,375,674.06/10,213.44
  6. Step 6: Final answer
    x = 4,932.29

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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.