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Finding the Fourth Proportional to 11,832.50, 17,739.39 and 5,906.34

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Solution

The fourth proportional to 11,832.50, 17,739.39 and 5,906.34 is: 8,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.50 : 17,739.39 = 5,906.34 : x
  2. Step 2: Convert to fraction form
    11,832.50/17,739.39 = 5,906.34/x
  3. Step 3: Cross multiply
    11,832.50x = 17,739.39 × 5,906.34
  4. Step 4: Simplify right side
    11,832.50x = 104,774,868.73
  5. Step 5: Solve for x
    x = 104,774,868.73/11,832.50
  6. Step 6: Final answer
    x = 8,854.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.