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Finding the Fourth Proportional to 11,965.37, 17,942.02 and 6,969.33

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Solution

The fourth proportional to 11,965.37, 17,942.02 and 6,969.33 is: 10,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.37 : 17,942.02 = 6,969.33 : x
  2. Step 2: Convert to fraction form
    11,965.37/17,942.02 = 6,969.33/x
  3. Step 3: Cross multiply
    11,965.37x = 17,942.02 × 6,969.33
  4. Step 4: Simplify right side
    11,965.37x = 125,043,840.82
  5. Step 5: Solve for x
    x = 125,043,840.82/11,965.37
  6. Step 6: Final answer
    x = 10,450.48

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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.