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Finding the Fourth Proportional to 8,040, 12,067.80 and 3,882.96

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Solution

The fourth proportional to 8,040, 12,067.80 and 3,882.96 is: 5,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040 : 12,067.80 = 3,882.96 : x
  2. Step 2: Convert to fraction form
    8,040/12,067.80 = 3,882.96/x
  3. Step 3: Cross multiply
    8,040x = 12,067.80 × 3,882.96
  4. Step 4: Simplify right side
    8,040x = 46,858,784.69
  5. Step 5: Solve for x
    x = 46,858,784.69/8,040
  6. Step 6: Final answer
    x = 5,828.21

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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.