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Finding the Fourth Proportional to 8,067.81, 12,095.03 and 3,069.15

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Solution

The fourth proportional to 8,067.81, 12,095.03 and 3,069.15 is: 4,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.81 : 12,095.03 = 3,069.15 : x
  2. Step 2: Convert to fraction form
    8,067.81/12,095.03 = 3,069.15/x
  3. Step 3: Cross multiply
    8,067.81x = 12,095.03 × 3,069.15
  4. Step 4: Simplify right side
    8,067.81x = 37,121,400.85
  5. Step 5: Solve for x
    x = 37,121,400.85/8,067.81
  6. Step 6: Final answer
    x = 4,601.17

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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.