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Finding the Fourth Proportional to 6,896.95, 10,344.40 and 2,513.39

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Solution

The fourth proportional to 6,896.95, 10,344.40 and 2,513.39 is: 3,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.95 : 10,344.40 = 2,513.39 : x
  2. Step 2: Convert to fraction form
    6,896.95/10,344.40 = 2,513.39/x
  3. Step 3: Cross multiply
    6,896.95x = 10,344.40 × 2,513.39
  4. Step 4: Simplify right side
    6,896.95x = 25,999,511.52
  5. Step 5: Solve for x
    x = 25,999,511.52/6,896.95
  6. Step 6: Final answer
    x = 3,769.71

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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.