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Finding the Fourth Proportional to 8,144.92, 11,240.80 and 4,958.44

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Solution

The fourth proportional to 8,144.92, 11,240.80 and 4,958.44 is: 6,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.92 : 11,240.80 = 4,958.44 : x
  2. Step 2: Convert to fraction form
    8,144.92/11,240.80 = 4,958.44/x
  3. Step 3: Cross multiply
    8,144.92x = 11,240.80 × 4,958.44
  4. Step 4: Simplify right side
    8,144.92x = 55,736,832.35
  5. Step 5: Solve for x
    x = 55,736,832.35/8,144.92
  6. Step 6: Final answer
    x = 6,843.14

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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.