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Finding the Fourth Proportional to 8,047.82, 12,067.28 and 2,779.98

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Solution

The fourth proportional to 8,047.82, 12,067.28 and 2,779.98 is: 4,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.82 : 12,067.28 = 2,779.98 : x
  2. Step 2: Convert to fraction form
    8,047.82/12,067.28 = 2,779.98/x
  3. Step 3: Cross multiply
    8,047.82x = 12,067.28 × 2,779.98
  4. Step 4: Simplify right side
    8,047.82x = 33,546,797.05
  5. Step 5: Solve for x
    x = 33,546,797.05/8,047.82
  6. Step 6: Final answer
    x = 4,168.43

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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.