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Finding the Fourth Proportional to 8,620.38, 11,882.64 and 7,208.76

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Solution

The fourth proportional to 8,620.38, 11,882.64 and 7,208.76 is: 9,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.38 : 11,882.64 = 7,208.76 : x
  2. Step 2: Convert to fraction form
    8,620.38/11,882.64 = 7,208.76/x
  3. Step 3: Cross multiply
    8,620.38x = 11,882.64 × 7,208.76
  4. Step 4: Simplify right side
    8,620.38x = 85,659,099.93
  5. Step 5: Solve for x
    x = 85,659,099.93/8,620.38
  6. Step 6: Final answer
    x = 9,936.81

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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.