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Finding the Fourth Proportional to 7,424.56, 11,138.07 and 2,744.58

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Solution

The fourth proportional to 7,424.56, 11,138.07 and 2,744.58 is: 4,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.56 : 11,138.07 = 2,744.58 : x
  2. Step 2: Convert to fraction form
    7,424.56/11,138.07 = 2,744.58/x
  3. Step 3: Cross multiply
    7,424.56x = 11,138.07 × 2,744.58
  4. Step 4: Simplify right side
    7,424.56x = 30,569,324.16
  5. Step 5: Solve for x
    x = 30,569,324.16/7,424.56
  6. Step 6: Final answer
    x = 4,117.32

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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.