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Finding the Fourth Proportional to 11,969.33, 17,951.83 and 4,180.37

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Solution

The fourth proportional to 11,969.33, 17,951.83 and 4,180.37 is: 6,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.33 : 17,951.83 = 4,180.37 : x
  2. Step 2: Convert to fraction form
    11,969.33/17,951.83 = 4,180.37/x
  3. Step 3: Cross multiply
    11,969.33x = 17,951.83 × 4,180.37
  4. Step 4: Simplify right side
    11,969.33x = 75,045,291.58
  5. Step 5: Solve for x
    x = 75,045,291.58/11,969.33
  6. Step 6: Final answer
    x = 6,269.80

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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.