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Finding the Fourth Proportional to 11,654.11, 16,077.86 and 8,119.37

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Solution

The fourth proportional to 11,654.11, 16,077.86 and 8,119.37 is: 11,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.11 : 16,077.86 = 8,119.37 : x
  2. Step 2: Convert to fraction form
    11,654.11/16,077.86 = 8,119.37/x
  3. Step 3: Cross multiply
    11,654.11x = 16,077.86 × 8,119.37
  4. Step 4: Simplify right side
    11,654.11x = 130,542,124.19
  5. Step 5: Solve for x
    x = 130,542,124.19/11,654.11
  6. Step 6: Final answer
    x = 11,201.38

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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.