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Finding the Fourth Proportional to 11,968.27, 16,513.80 and 7,249.81

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Solution

The fourth proportional to 11,968.27, 16,513.80 and 7,249.81 is: 10,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.27 : 16,513.80 = 7,249.81 : x
  2. Step 2: Convert to fraction form
    11,968.27/16,513.80 = 7,249.81/x
  3. Step 3: Cross multiply
    11,968.27x = 16,513.80 × 7,249.81
  4. Step 4: Simplify right side
    11,968.27x = 119,721,912.38
  5. Step 5: Solve for x
    x = 119,721,912.38/11,968.27
  6. Step 6: Final answer
    x = 10,003.28

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Why These Related Problems?

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