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Finding the Fourth Proportional to 6,902.81, 10,346.76 and 3,388.73

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Solution

The fourth proportional to 6,902.81, 10,346.76 and 3,388.73 is: 5,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.81 : 10,346.76 = 3,388.73 : x
  2. Step 2: Convert to fraction form
    6,902.81/10,346.76 = 3,388.73/x
  3. Step 3: Cross multiply
    6,902.81x = 10,346.76 × 3,388.73
  4. Step 4: Simplify right side
    6,902.81x = 35,062,324.28
  5. Step 5: Solve for x
    x = 35,062,324.28/6,902.81
  6. Step 6: Final answer
    x = 5,079.43

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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.