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Finding the Fourth Proportional to 6,896.34, 10,344.45 and 2,737.29

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Solution

The fourth proportional to 6,896.34, 10,344.45 and 2,737.29 is: 4,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.34 : 10,344.45 = 2,737.29 : x
  2. Step 2: Convert to fraction form
    6,896.34/10,344.45 = 2,737.29/x
  3. Step 3: Cross multiply
    6,896.34x = 10,344.45 × 2,737.29
  4. Step 4: Simplify right side
    6,896.34x = 28,315,759.54
  5. Step 5: Solve for x
    x = 28,315,759.54/6,896.34
  6. Step 6: Final answer
    x = 4,105.91

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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.