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Finding the Fourth Proportional to 10,228.28, 15,310.56 and 7,882.20

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Solution

The fourth proportional to 10,228.28, 15,310.56 and 7,882.20 is: 11,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.28 : 15,310.56 = 7,882.20 : x
  2. Step 2: Convert to fraction form
    10,228.28/15,310.56 = 7,882.20/x
  3. Step 3: Cross multiply
    10,228.28x = 15,310.56 × 7,882.20
  4. Step 4: Simplify right side
    10,228.28x = 120,680,896.03
  5. Step 5: Solve for x
    x = 120,680,896.03/10,228.28
  6. Step 6: Final answer
    x = 11,798.75

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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.