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Finding the Fourth Proportional to 6,896.70, 10,344.02 and 2,513.14

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Solution

The fourth proportional to 6,896.70, 10,344.02 and 2,513.14 is: 3,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.70 : 10,344.02 = 2,513.14 : x
  2. Step 2: Convert to fraction form
    6,896.70/10,344.02 = 2,513.14/x
  3. Step 3: Cross multiply
    6,896.70x = 10,344.02 × 2,513.14
  4. Step 4: Simplify right side
    6,896.70x = 25,995,970.42
  5. Step 5: Solve for x
    x = 25,995,970.42/6,896.70
  6. Step 6: Final answer
    x = 3,769.33

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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.