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Finding the Fourth Proportional to 11,943.54, 16,481.88 and 6,638.22

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Solution

The fourth proportional to 11,943.54, 16,481.88 and 6,638.22 is: 9,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.54 : 16,481.88 = 6,638.22 : x
  2. Step 2: Convert to fraction form
    11,943.54/16,481.88 = 6,638.22/x
  3. Step 3: Cross multiply
    11,943.54x = 16,481.88 × 6,638.22
  4. Step 4: Simplify right side
    11,943.54x = 109,410,345.45
  5. Step 5: Solve for x
    x = 109,410,345.45/11,943.54
  6. Step 6: Final answer
    x = 9,160.63

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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.