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Finding the Fourth Proportional to 11,910.80, 16,429.41 and 7,667.42

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Solution

The fourth proportional to 11,910.80, 16,429.41 and 7,667.42 is: 10,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.80 : 16,429.41 = 7,667.42 : x
  2. Step 2: Convert to fraction form
    11,910.80/16,429.41 = 7,667.42/x
  3. Step 3: Cross multiply
    11,910.80x = 16,429.41 × 7,667.42
  4. Step 4: Simplify right side
    11,910.80x = 125,971,104.68
  5. Step 5: Solve for x
    x = 125,971,104.68/11,910.80
  6. Step 6: Final answer
    x = 10,576.21

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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.