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Finding the Fourth Proportional to 8,067.30, 11,131.63 and 4,481.93

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Solution

The fourth proportional to 8,067.30, 11,131.63 and 4,481.93 is: 6,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.30 : 11,131.63 = 4,481.93 : x
  2. Step 2: Convert to fraction form
    8,067.30/11,131.63 = 4,481.93/x
  3. Step 3: Cross multiply
    8,067.30x = 11,131.63 × 4,481.93
  4. Step 4: Simplify right side
    8,067.30x = 49,891,203.07
  5. Step 5: Solve for x
    x = 49,891,203.07/8,067.30
  6. Step 6: Final answer
    x = 6,184.38

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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.