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Finding the Fourth Proportional to 8,294.30, 12,446.66 and 3,363.96

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Solution

The fourth proportional to 8,294.30, 12,446.66 and 3,363.96 is: 5,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.30 : 12,446.66 = 3,363.96 : x
  2. Step 2: Convert to fraction form
    8,294.30/12,446.66 = 3,363.96/x
  3. Step 3: Cross multiply
    8,294.30x = 12,446.66 × 3,363.96
  4. Step 4: Simplify right side
    8,294.30x = 41,870,121.46
  5. Step 5: Solve for x
    x = 41,870,121.46/8,294.30
  6. Step 6: Final answer
    x = 5,048.06

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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.