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Finding the Fourth Proportional to 10,287.46, 14,198.75 and 5,811.27

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Solution

The fourth proportional to 10,287.46, 14,198.75 and 5,811.27 is: 8,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.46 : 14,198.75 = 5,811.27 : x
  2. Step 2: Convert to fraction form
    10,287.46/14,198.75 = 5,811.27/x
  3. Step 3: Cross multiply
    10,287.46x = 14,198.75 × 5,811.27
  4. Step 4: Simplify right side
    10,287.46x = 82,512,769.91
  5. Step 5: Solve for x
    x = 82,512,769.91/10,287.46
  6. Step 6: Final answer
    x = 8,020.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.