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Finding the Fourth Proportional to 8,019.83, 11,961.41 and 7,517.49

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Solution

The fourth proportional to 8,019.83, 11,961.41 and 7,517.49 is: 11,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.83 : 11,961.41 = 7,517.49 : x
  2. Step 2: Convert to fraction form
    8,019.83/11,961.41 = 7,517.49/x
  3. Step 3: Cross multiply
    8,019.83x = 11,961.41 × 7,517.49
  4. Step 4: Simplify right side
    8,019.83x = 89,919,697.62
  5. Step 5: Solve for x
    x = 89,919,697.62/8,019.83
  6. Step 6: Final answer
    x = 11,212.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.