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Finding the Fourth Proportional to 10,213.82, 15,324.03 and 5,016.05

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Solution

The fourth proportional to 10,213.82, 15,324.03 and 5,016.05 is: 7,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.82 : 15,324.03 = 5,016.05 : x
  2. Step 2: Convert to fraction form
    10,213.82/15,324.03 = 5,016.05/x
  3. Step 3: Cross multiply
    10,213.82x = 15,324.03 × 5,016.05
  4. Step 4: Simplify right side
    10,213.82x = 76,866,100.68
  5. Step 5: Solve for x
    x = 76,866,100.68/10,213.82
  6. Step 6: Final answer
    x = 7,525.70

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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.