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Finding the Fourth Proportional to 8,523.23, 11,761.26 and 6,286.34

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Solution

The fourth proportional to 8,523.23, 11,761.26 and 6,286.34 is: 8,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.23 : 11,761.26 = 6,286.34 : x
  2. Step 2: Convert to fraction form
    8,523.23/11,761.26 = 6,286.34/x
  3. Step 3: Cross multiply
    8,523.23x = 11,761.26 × 6,286.34
  4. Step 4: Simplify right side
    8,523.23x = 73,935,220.38
  5. Step 5: Solve for x
    x = 73,935,220.38/8,523.23
  6. Step 6: Final answer
    x = 8,674.56

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Why These Related Problems?

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