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Finding the Fourth Proportional to 11,993.88, 17,991 and 4,203

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Solution

The fourth proportional to 11,993.88, 17,991 and 4,203 is: 6,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.88 : 17,991 = 4,203 : x
  2. Step 2: Convert to fraction form
    11,993.88/17,991 = 4,203/x
  3. Step 3: Cross multiply
    11,993.88x = 17,991 × 4,203
  4. Step 4: Simplify right side
    11,993.88x = 75,616,173
  5. Step 5: Solve for x
    x = 75,616,173/11,993.88
  6. Step 6: Final answer
    x = 6,304.56

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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.