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Finding the Fourth Proportional to 12,001, 18,004.38 and 3,793

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Solution

The fourth proportional to 12,001, 18,004.38 and 3,793 is: 5,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001 : 18,004.38 = 3,793 : x
  2. Step 2: Convert to fraction form
    12,001/18,004.38 = 3,793/x
  3. Step 3: Cross multiply
    12,001x = 18,004.38 × 3,793
  4. Step 4: Simplify right side
    12,001x = 68,290,613.34
  5. Step 5: Solve for x
    x = 68,290,613.34/12,001
  6. Step 6: Final answer
    x = 5,690.41

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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.