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Finding the Fourth Proportional to 8,311.20, 12,469.28 and 2,765.28

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Solution

The fourth proportional to 8,311.20, 12,469.28 and 2,765.28 is: 4,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.20 : 12,469.28 = 2,765.28 : x
  2. Step 2: Convert to fraction form
    8,311.20/12,469.28 = 2,765.28/x
  3. Step 3: Cross multiply
    8,311.20x = 12,469.28 × 2,765.28
  4. Step 4: Simplify right side
    8,311.20x = 34,481,050.60
  5. Step 5: Solve for x
    x = 34,481,050.60/8,311.20
  6. Step 6: Final answer
    x = 4,148.75

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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.