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Finding the Fourth Proportional to 8,033.72, 11,026.40 and 7,286.49

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Solution

The fourth proportional to 8,033.72, 11,026.40 and 7,286.49 is: 10,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.72 : 11,026.40 = 7,286.49 : x
  2. Step 2: Convert to fraction form
    8,033.72/11,026.40 = 7,286.49/x
  3. Step 3: Cross multiply
    8,033.72x = 11,026.40 × 7,286.49
  4. Step 4: Simplify right side
    8,033.72x = 80,343,716.90
  5. Step 5: Solve for x
    x = 80,343,716.90/8,033.72
  6. Step 6: Final answer
    x = 10,000.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.