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Finding the Fourth Proportional to 11,701.97, 16,143.07 and 7,667.06

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Solution

The fourth proportional to 11,701.97, 16,143.07 and 7,667.06 is: 10,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 16,143.07 = 7,667.06 : x
  2. Step 2: Convert to fraction form
    11,701.97/16,143.07 = 7,667.06/x
  3. Step 3: Cross multiply
    11,701.97x = 16,143.07 × 7,667.06
  4. Step 4: Simplify right side
    11,701.97x = 123,769,822.33
  5. Step 5: Solve for x
    x = 123,769,822.33/11,701.97
  6. Step 6: Final answer
    x = 10,576.84

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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.