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Finding the Fourth Proportional to 11,965.66, 16,512.33 and 6,660.37

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Solution

The fourth proportional to 11,965.66, 16,512.33 and 6,660.37 is: 9,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.66 : 16,512.33 = 6,660.37 : x
  2. Step 2: Convert to fraction form
    11,965.66/16,512.33 = 6,660.37/x
  3. Step 3: Cross multiply
    11,965.66x = 16,512.33 × 6,660.37
  4. Step 4: Simplify right side
    11,965.66x = 109,978,227.36
  5. Step 5: Solve for x
    x = 109,978,227.36/11,965.66
  6. Step 6: Final answer
    x = 9,191.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.