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Finding the Fourth Proportional to 8,045, 12,067.40 and 2,201.64

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Solution

The fourth proportional to 8,045, 12,067.40 and 2,201.64 is: 3,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045 : 12,067.40 = 2,201.64 : x
  2. Step 2: Convert to fraction form
    8,045/12,067.40 = 2,201.64/x
  3. Step 3: Cross multiply
    8,045x = 12,067.40 × 2,201.64
  4. Step 4: Simplify right side
    8,045x = 26,568,070.54
  5. Step 5: Solve for x
    x = 26,568,070.54/8,045
  6. Step 6: Final answer
    x = 3,302.43

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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.