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Finding the Fourth Proportional to 7,481.96, 11,218.46 and 3,097.02

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Solution

The fourth proportional to 7,481.96, 11,218.46 and 3,097.02 is: 4,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.96 : 11,218.46 = 3,097.02 : x
  2. Step 2: Convert to fraction form
    7,481.96/11,218.46 = 3,097.02/x
  3. Step 3: Cross multiply
    7,481.96x = 11,218.46 × 3,097.02
  4. Step 4: Simplify right side
    7,481.96x = 34,743,794.99
  5. Step 5: Solve for x
    x = 34,743,794.99/7,481.96
  6. Step 6: Final answer
    x = 4,643.68

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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.