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Finding the Fourth Proportional to 6,805.52, 10,186.40 and 3,514.12

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Solution

The fourth proportional to 6,805.52, 10,186.40 and 3,514.12 is: 5,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.52 : 10,186.40 = 3,514.12 : x
  2. Step 2: Convert to fraction form
    6,805.52/10,186.40 = 3,514.12/x
  3. Step 3: Cross multiply
    6,805.52x = 10,186.40 × 3,514.12
  4. Step 4: Simplify right side
    6,805.52x = 35,796,231.97
  5. Step 5: Solve for x
    x = 35,796,231.97/6,805.52
  6. Step 6: Final answer
    x = 5,259.88

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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.