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Finding the Fourth Proportional to 10,638.93, 15,962.04 and 4,067

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Solution

The fourth proportional to 10,638.93, 15,962.04 and 4,067 is: 6,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.93 : 15,962.04 = 4,067 : x
  2. Step 2: Convert to fraction form
    10,638.93/15,962.04 = 4,067/x
  3. Step 3: Cross multiply
    10,638.93x = 15,962.04 × 4,067
  4. Step 4: Simplify right side
    10,638.93x = 64,917,616.68
  5. Step 5: Solve for x
    x = 64,917,616.68/10,638.93
  6. Step 6: Final answer
    x = 6,101.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.