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Finding the Fourth Proportional to 6,896.91, 10,338.19 and 3,196.10

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Solution

The fourth proportional to 6,896.91, 10,338.19 and 3,196.10 is: 4,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.91 : 10,338.19 = 3,196.10 : x
  2. Step 2: Convert to fraction form
    6,896.91/10,338.19 = 3,196.10/x
  3. Step 3: Cross multiply
    6,896.91x = 10,338.19 × 3,196.10
  4. Step 4: Simplify right side
    6,896.91x = 33,041,906.91
  5. Step 5: Solve for x
    x = 33,041,906.91/6,896.91
  6. Step 6: Final answer
    x = 4,790.83

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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.