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Finding the Fourth Proportional to 8,067.87, 12,092.73 and 4,108.01

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Solution

The fourth proportional to 8,067.87, 12,092.73 and 4,108.01 is: 6,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.87 : 12,092.73 = 4,108.01 : x
  2. Step 2: Convert to fraction form
    8,067.87/12,092.73 = 4,108.01/x
  3. Step 3: Cross multiply
    8,067.87x = 12,092.73 × 4,108.01
  4. Step 4: Simplify right side
    8,067.87x = 49,677,055.77
  5. Step 5: Solve for x
    x = 49,677,055.77/8,067.87
  6. Step 6: Final answer
    x = 6,157.39

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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.