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Finding the Fourth Proportional to 11,958.69, 17,937.63 and 3,193.14

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Solution

The fourth proportional to 11,958.69, 17,937.63 and 3,193.14 is: 4,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.69 : 17,937.63 = 3,193.14 : x
  2. Step 2: Convert to fraction form
    11,958.69/17,937.63 = 3,193.14/x
  3. Step 3: Cross multiply
    11,958.69x = 17,937.63 × 3,193.14
  4. Step 4: Simplify right side
    11,958.69x = 57,277,363.86
  5. Step 5: Solve for x
    x = 57,277,363.86/11,958.69
  6. Step 6: Final answer
    x = 4,789.60

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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.