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Finding the Fourth Proportional to 10,229.28, 15,341.28 and 3,654.72

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Solution

The fourth proportional to 10,229.28, 15,341.28 and 3,654.72 is: 5,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.28 : 15,341.28 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    10,229.28/15,341.28 = 3,654.72/x
  3. Step 3: Cross multiply
    10,229.28x = 15,341.28 × 3,654.72
  4. Step 4: Simplify right side
    10,229.28x = 56,068,082.84
  5. Step 5: Solve for x
    x = 56,068,082.84/10,229.28
  6. Step 6: Final answer
    x = 5,481.14

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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.