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Finding the Fourth Proportional to 11,965.96, 16,512.64 and 6,660.69

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Solution

The fourth proportional to 11,965.96, 16,512.64 and 6,660.69 is: 9,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.96 : 16,512.64 = 6,660.69 : x
  2. Step 2: Convert to fraction form
    11,965.96/16,512.64 = 6,660.69/x
  3. Step 3: Cross multiply
    11,965.96x = 16,512.64 × 6,660.69
  4. Step 4: Simplify right side
    11,965.96x = 109,985,576.12
  5. Step 5: Solve for x
    x = 109,985,576.12/11,965.96
  6. Step 6: Final answer
    x = 9,191.54

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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.