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Finding the Fourth Proportional to 6,759.32, 10,143.34 and 3,294.68

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Solution

The fourth proportional to 6,759.32, 10,143.34 and 3,294.68 is: 4,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.32 : 10,143.34 = 3,294.68 : x
  2. Step 2: Convert to fraction form
    6,759.32/10,143.34 = 3,294.68/x
  3. Step 3: Cross multiply
    6,759.32x = 10,143.34 × 3,294.68
  4. Step 4: Simplify right side
    6,759.32x = 33,419,059.43
  5. Step 5: Solve for x
    x = 33,419,059.43/6,759.32
  6. Step 6: Final answer
    x = 4,944.15

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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.