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Finding the Fourth Proportional to 7,196.82, 10,792.39 and 3,497.96

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Solution

The fourth proportional to 7,196.82, 10,792.39 and 3,497.96 is: 5,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.82 : 10,792.39 = 3,497.96 : x
  2. Step 2: Convert to fraction form
    7,196.82/10,792.39 = 3,497.96/x
  3. Step 3: Cross multiply
    7,196.82x = 10,792.39 × 3,497.96
  4. Step 4: Simplify right side
    7,196.82x = 37,751,348.52
  5. Step 5: Solve for x
    x = 37,751,348.52/7,196.82
  6. Step 6: Final answer
    x = 5,245.56

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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.