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Finding the Fourth Proportional to 6,805.27, 10,198.32 and 5,412.43

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Solution

The fourth proportional to 6,805.27, 10,198.32 and 5,412.43 is: 8,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.27 : 10,198.32 = 5,412.43 : x
  2. Step 2: Convert to fraction form
    6,805.27/10,198.32 = 5,412.43/x
  3. Step 3: Cross multiply
    6,805.27x = 10,198.32 × 5,412.43
  4. Step 4: Simplify right side
    6,805.27x = 55,197,693.12
  5. Step 5: Solve for x
    x = 55,197,693.12/6,805.27
  6. Step 6: Final answer
    x = 8,111.02

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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.