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Finding the Fourth Proportional to 11,601.22, 16,010.28 and 6,822.60

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Solution

The fourth proportional to 11,601.22, 16,010.28 and 6,822.60 is: 9,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.22 : 16,010.28 = 6,822.60 : x
  2. Step 2: Convert to fraction form
    11,601.22/16,010.28 = 6,822.60/x
  3. Step 3: Cross multiply
    11,601.22x = 16,010.28 × 6,822.60
  4. Step 4: Simplify right side
    11,601.22x = 109,231,736.33
  5. Step 5: Solve for x
    x = 109,231,736.33/11,601.22
  6. Step 6: Final answer
    x = 9,415.54

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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.