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Finding the Fourth Proportional to 8,523.63, 11,761.77 and 6,286.71

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Solution

The fourth proportional to 8,523.63, 11,761.77 and 6,286.71 is: 8,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.63 : 11,761.77 = 6,286.71 : x
  2. Step 2: Convert to fraction form
    8,523.63/11,761.77 = 6,286.71/x
  3. Step 3: Cross multiply
    8,523.63x = 11,761.77 × 6,286.71
  4. Step 4: Simplify right side
    8,523.63x = 73,942,837.08
  5. Step 5: Solve for x
    x = 73,942,837.08/8,523.63
  6. Step 6: Final answer
    x = 8,675.04

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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.