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Finding the Fourth Proportional to 6,286.11, 8,676.05 and 4,161.69

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Solution

The fourth proportional to 6,286.11, 8,676.05 and 4,161.69 is: 5,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.11 : 8,676.05 = 4,161.69 : x
  2. Step 2: Convert to fraction form
    6,286.11/8,676.05 = 4,161.69/x
  3. Step 3: Cross multiply
    6,286.11x = 8,676.05 × 4,161.69
  4. Step 4: Simplify right side
    6,286.11x = 36,107,009.72
  5. Step 5: Solve for x
    x = 36,107,009.72/6,286.11
  6. Step 6: Final answer
    x = 5,743.94

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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.