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Finding the Fourth Proportional to 10,233.69, 15,352.56 and 3,993.45

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Solution

The fourth proportional to 10,233.69, 15,352.56 and 3,993.45 is: 5,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.69 : 15,352.56 = 3,993.45 : x
  2. Step 2: Convert to fraction form
    10,233.69/15,352.56 = 3,993.45/x
  3. Step 3: Cross multiply
    10,233.69x = 15,352.56 × 3,993.45
  4. Step 4: Simplify right side
    10,233.69x = 61,309,680.73
  5. Step 5: Solve for x
    x = 61,309,680.73/10,233.69
  6. Step 6: Final answer
    x = 5,990.97

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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.