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Finding the Fourth Proportional to 6,896.28, 10,344.24 and 2,216.28

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Solution

The fourth proportional to 6,896.28, 10,344.24 and 2,216.28 is: 3,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.28 : 10,344.24 = 2,216.28 : x
  2. Step 2: Convert to fraction form
    6,896.28/10,344.24 = 2,216.28/x
  3. Step 3: Cross multiply
    6,896.28x = 10,344.24 × 2,216.28
  4. Step 4: Simplify right side
    6,896.28x = 22,925,732.23
  5. Step 5: Solve for x
    x = 22,925,732.23/6,896.28
  6. Step 6: Final answer
    x = 3,324.36

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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.