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Finding the Fourth Proportional to 6,896.89, 10,345.40 and 2,737.90

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Solution

The fourth proportional to 6,896.89, 10,345.40 and 2,737.90 is: 4,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.89 : 10,345.40 = 2,737.90 : x
  2. Step 2: Convert to fraction form
    6,896.89/10,345.40 = 2,737.90/x
  3. Step 3: Cross multiply
    6,896.89x = 10,345.40 × 2,737.90
  4. Step 4: Simplify right side
    6,896.89x = 28,324,605.24
  5. Step 5: Solve for x
    x = 28,324,605.24/6,896.89
  6. Step 6: Final answer
    x = 4,106.87

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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.