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Finding the Fourth Proportional to 6,819.28, 10,228.98 and 2,202.28

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Solution

The fourth proportional to 6,819.28, 10,228.98 and 2,202.28 is: 3,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.28 : 10,228.98 = 2,202.28 : x
  2. Step 2: Convert to fraction form
    6,819.28/10,228.98 = 2,202.28/x
  3. Step 3: Cross multiply
    6,819.28x = 10,228.98 × 2,202.28
  4. Step 4: Simplify right side
    6,819.28x = 22,527,078.07
  5. Step 5: Solve for x
    x = 22,527,078.07/6,819.28
  6. Step 6: Final answer
    x = 3,303.44

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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.