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Finding the Fourth Proportional to 11,638.20, 16,062.06 and 6,922.44

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Solution

The fourth proportional to 11,638.20, 16,062.06 and 6,922.44 is: 9,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.20 : 16,062.06 = 6,922.44 : x
  2. Step 2: Convert to fraction form
    11,638.20/16,062.06 = 6,922.44/x
  3. Step 3: Cross multiply
    11,638.20x = 16,062.06 × 6,922.44
  4. Step 4: Simplify right side
    11,638.20x = 111,188,646.63
  5. Step 5: Solve for x
    x = 111,188,646.63/11,638.20
  6. Step 6: Final answer
    x = 9,553.77

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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.