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Finding the Fourth Proportional to 10,286.49, 14,195.22 and 5,811.68

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Solution

The fourth proportional to 10,286.49, 14,195.22 and 5,811.68 is: 8,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.49 : 14,195.22 = 5,811.68 : x
  2. Step 2: Convert to fraction form
    10,286.49/14,195.22 = 5,811.68/x
  3. Step 3: Cross multiply
    10,286.49x = 14,195.22 × 5,811.68
  4. Step 4: Simplify right side
    10,286.49x = 82,498,089.86
  5. Step 5: Solve for x
    x = 82,498,089.86/10,286.49
  6. Step 6: Final answer
    x = 8,020.04

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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.