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Finding the Fourth Proportional to 6,896.63, 10,339.88 and 2,514.12

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Solution

The fourth proportional to 6,896.63, 10,339.88 and 2,514.12 is: 3,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.63 : 10,339.88 = 2,514.12 : x
  2. Step 2: Convert to fraction form
    6,896.63/10,339.88 = 2,514.12/x
  3. Step 3: Cross multiply
    6,896.63x = 10,339.88 × 2,514.12
  4. Step 4: Simplify right side
    6,896.63x = 25,995,686.54
  5. Step 5: Solve for x
    x = 25,995,686.54/6,896.63
  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.