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Finding the Fourth Proportional to 11,963.67, 16,513.59 and 8,185.41

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Solution

The fourth proportional to 11,963.67, 16,513.59 and 8,185.41 is: 11,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.67 : 16,513.59 = 8,185.41 : x
  2. Step 2: Convert to fraction form
    11,963.67/16,513.59 = 8,185.41/x
  3. Step 3: Cross multiply
    11,963.67x = 16,513.59 × 8,185.41
  4. Step 4: Simplify right side
    11,963.67x = 135,170,504.72
  5. Step 5: Solve for x
    x = 135,170,504.72/11,963.67
  6. Step 6: Final answer
    x = 11,298.41

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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.