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Finding the Fourth Proportional to 10,229.76, 15,341.16 and 3,989.28

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Solution

The fourth proportional to 10,229.76, 15,341.16 and 3,989.28 is: 5,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.76 : 15,341.16 = 3,989.28 : x
  2. Step 2: Convert to fraction form
    10,229.76/15,341.16 = 3,989.28/x
  3. Step 3: Cross multiply
    10,229.76x = 15,341.16 × 3,989.28
  4. Step 4: Simplify right side
    10,229.76x = 61,200,182.76
  5. Step 5: Solve for x
    x = 61,200,182.76/10,229.76
  6. Step 6: Final answer
    x = 5,982.56

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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.