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Finding the Fourth Proportional to 6,844.30, 10,267.17 and 2,226.22

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Solution

The fourth proportional to 6,844.30, 10,267.17 and 2,226.22 is: 3,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.30 : 10,267.17 = 2,226.22 : x
  2. Step 2: Convert to fraction form
    6,844.30/10,267.17 = 2,226.22/x
  3. Step 3: Cross multiply
    6,844.30x = 10,267.17 × 2,226.22
  4. Step 4: Simplify right side
    6,844.30x = 22,856,979.20
  5. Step 5: Solve for x
    x = 22,856,979.20/6,844.30
  6. Step 6: Final answer
    x = 3,339.56

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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.