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Finding the Fourth Proportional to 6,805.65, 10,198.91 and 5,412.81

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Solution

The fourth proportional to 6,805.65, 10,198.91 and 5,412.81 is: 8,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.65 : 10,198.91 = 5,412.81 : x
  2. Step 2: Convert to fraction form
    6,805.65/10,198.91 = 5,412.81/x
  3. Step 3: Cross multiply
    6,805.65x = 10,198.91 × 5,412.81
  4. Step 4: Simplify right side
    6,805.65x = 55,204,762.04
  5. Step 5: Solve for x
    x = 55,204,762.04/6,805.65
  6. Step 6: Final answer
    x = 8,111.61

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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.