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Finding the Fourth Proportional to 7,481.72, 11,224.20 and 2,287.46

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Solution

The fourth proportional to 7,481.72, 11,224.20 and 2,287.46 is: 3,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.72 : 11,224.20 = 2,287.46 : x
  2. Step 2: Convert to fraction form
    7,481.72/11,224.20 = 2,287.46/x
  3. Step 3: Cross multiply
    7,481.72x = 11,224.20 × 2,287.46
  4. Step 4: Simplify right side
    7,481.72x = 25,674,908.53
  5. Step 5: Solve for x
    x = 25,674,908.53/7,481.72
  6. Step 6: Final answer
    x = 3,431.69

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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.