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Finding the Fourth Proportional to 8,226.28, 12,340.70 and 2,753

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Solution

The fourth proportional to 8,226.28, 12,340.70 and 2,753 is: 4,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.28 : 12,340.70 = 2,753 : x
  2. Step 2: Convert to fraction form
    8,226.28/12,340.70 = 2,753/x
  3. Step 3: Cross multiply
    8,226.28x = 12,340.70 × 2,753
  4. Step 4: Simplify right side
    8,226.28x = 33,973,947.10
  5. Step 5: Solve for x
    x = 33,973,947.10/8,226.28
  6. Step 6: Final answer
    x = 4,129.93

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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.