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Finding the Fourth Proportional to 11,739.34, 16,201.83 and 6,702.42

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Solution

The fourth proportional to 11,739.34, 16,201.83 and 6,702.42 is: 9,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.34 : 16,201.83 = 6,702.42 : x
  2. Step 2: Convert to fraction form
    11,739.34/16,201.83 = 6,702.42/x
  3. Step 3: Cross multiply
    11,739.34x = 16,201.83 × 6,702.42
  4. Step 4: Simplify right side
    11,739.34x = 108,591,469.43
  5. Step 5: Solve for x
    x = 108,591,469.43/11,739.34
  6. Step 6: Final answer
    x = 9,250.22

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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.