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Finding the Fourth Proportional to 8,067.48, 12,101.99 and 3,137.50

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Solution

The fourth proportional to 8,067.48, 12,101.99 and 3,137.50 is: 4,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.48 : 12,101.99 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    8,067.48/12,101.99 = 3,137.50/x
  3. Step 3: Cross multiply
    8,067.48x = 12,101.99 × 3,137.50
  4. Step 4: Simplify right side
    8,067.48x = 37,969,993.63
  5. Step 5: Solve for x
    x = 37,969,993.63/8,067.48
  6. Step 6: Final answer
    x = 4,706.55

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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.