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Finding the Fourth Proportional to 6,896.81, 10,349.37 and 2,514.65

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Solution

The fourth proportional to 6,896.81, 10,349.37 and 2,514.65 is: 3,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.81 : 10,349.37 = 2,514.65 : x
  2. Step 2: Convert to fraction form
    6,896.81/10,349.37 = 2,514.65/x
  3. Step 3: Cross multiply
    6,896.81x = 10,349.37 × 2,514.65
  4. Step 4: Simplify right side
    6,896.81x = 26,024,991.52
  5. Step 5: Solve for x
    x = 26,024,991.52/6,896.81
  6. Step 6: Final answer
    x = 3,773.48

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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.