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Finding the Fourth Proportional to 6,744.39, 10,111.97 and 3,044.60

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Solution

The fourth proportional to 6,744.39, 10,111.97 and 3,044.60 is: 4,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.39 : 10,111.97 = 3,044.60 : x
  2. Step 2: Convert to fraction form
    6,744.39/10,111.97 = 3,044.60/x
  3. Step 3: Cross multiply
    6,744.39x = 10,111.97 × 3,044.60
  4. Step 4: Simplify right side
    6,744.39x = 30,786,906.63
  5. Step 5: Solve for x
    x = 30,786,906.63/6,744.39
  6. Step 6: Final answer
    x = 4,564.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.