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Finding the Fourth Proportional to 8,000.44, 11,996.06 and 3,067

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Solution

The fourth proportional to 8,000.44, 11,996.06 and 3,067 is: 4,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.44 : 11,996.06 = 3,067 : x
  2. Step 2: Convert to fraction form
    8,000.44/11,996.06 = 3,067/x
  3. Step 3: Cross multiply
    8,000.44x = 11,996.06 × 3,067
  4. Step 4: Simplify right side
    8,000.44x = 36,791,916.02
  5. Step 5: Solve for x
    x = 36,791,916.02/8,000.44
  6. Step 6: Final answer
    x = 4,598.74

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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.