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Finding the Fourth Proportional to 8,226.78, 12,340.92 and 2,678.70

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Solution

The fourth proportional to 8,226.78, 12,340.92 and 2,678.70 is: 4,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.78 : 12,340.92 = 2,678.70 : x
  2. Step 2: Convert to fraction form
    8,226.78/12,340.92 = 2,678.70/x
  3. Step 3: Cross multiply
    8,226.78x = 12,340.92 × 2,678.70
  4. Step 4: Simplify right side
    8,226.78x = 33,057,622.40
  5. Step 5: Solve for x
    x = 33,057,622.40/8,226.78
  6. Step 6: Final answer
    x = 4,018.29

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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.