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Finding the Fourth Proportional to 10,477.28, 15,715.92 and 3,549.92

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Solution

The fourth proportional to 10,477.28, 15,715.92 and 3,549.92 is: 5,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.28 : 15,715.92 = 3,549.92 : x
  2. Step 2: Convert to fraction form
    10,477.28/15,715.92 = 3,549.92/x
  3. Step 3: Cross multiply
    10,477.28x = 15,715.92 × 3,549.92
  4. Step 4: Simplify right side
    10,477.28x = 55,790,258.73
  5. Step 5: Solve for x
    x = 55,790,258.73/10,477.28
  6. Step 6: Final answer
    x = 5,324.88

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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.