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Finding the Fourth Proportional to 11,967.33, 17,945.78 and 3,645.39

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Solution

The fourth proportional to 11,967.33, 17,945.78 and 3,645.39 is: 5,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.33 : 17,945.78 = 3,645.39 : x
  2. Step 2: Convert to fraction form
    11,967.33/17,945.78 = 3,645.39/x
  3. Step 3: Cross multiply
    11,967.33x = 17,945.78 × 3,645.39
  4. Step 4: Simplify right side
    11,967.33x = 65,419,366.95
  5. Step 5: Solve for x
    x = 65,419,366.95/11,967.33
  6. Step 6: Final answer
    x = 5,466.50

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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.