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Finding the Fourth Proportional to 12,134.92, 16,745.81 and 6,757.37

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Solution

The fourth proportional to 12,134.92, 16,745.81 and 6,757.37 is: 9,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.92 : 16,745.81 = 6,757.37 : x
  2. Step 2: Convert to fraction form
    12,134.92/16,745.81 = 6,757.37/x
  3. Step 3: Cross multiply
    12,134.92x = 16,745.81 × 6,757.37
  4. Step 4: Simplify right side
    12,134.92x = 113,157,567.28
  5. Step 5: Solve for x
    x = 113,157,567.28/12,134.92
  6. Step 6: Final answer
    x = 9,324.96

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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.