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Finding the Fourth Proportional to 6,696.30, 10,046.73 and 3,231.18

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Solution

The fourth proportional to 6,696.30, 10,046.73 and 3,231.18 is: 4,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.30 : 10,046.73 = 3,231.18 : x
  2. Step 2: Convert to fraction form
    6,696.30/10,046.73 = 3,231.18/x
  3. Step 3: Cross multiply
    6,696.30x = 10,046.73 × 3,231.18
  4. Step 4: Simplify right side
    6,696.30x = 32,462,793.04
  5. Step 5: Solve for x
    x = 32,462,793.04/6,696.30
  6. Step 6: Final answer
    x = 4,847.87

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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.