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Finding the Fourth Proportional to 8,229.28, 12,341.36 and 2,756

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Solution

The fourth proportional to 8,229.28, 12,341.36 and 2,756 is: 4,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.28 : 12,341.36 = 2,756 : x
  2. Step 2: Convert to fraction form
    8,229.28/12,341.36 = 2,756/x
  3. Step 3: Cross multiply
    8,229.28x = 12,341.36 × 2,756
  4. Step 4: Simplify right side
    8,229.28x = 34,012,788.16
  5. Step 5: Solve for x
    x = 34,012,788.16/8,229.28
  6. Step 6: Final answer
    x = 4,133.14

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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.