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Finding the Fourth Proportional to 7,791.82, 11,684.84 and 3,110.43

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Solution

The fourth proportional to 7,791.82, 11,684.84 and 3,110.43 is: 4,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.82 : 11,684.84 = 3,110.43 : x
  2. Step 2: Convert to fraction form
    7,791.82/11,684.84 = 3,110.43/x
  3. Step 3: Cross multiply
    7,791.82x = 11,684.84 × 3,110.43
  4. Step 4: Simplify right side
    7,791.82x = 36,344,876.88
  5. Step 5: Solve for x
    x = 36,344,876.88/7,791.82
  6. Step 6: Final answer
    x = 4,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.