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Finding the Fourth Proportional to 7,092.82, 10,635 and 2,161

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Solution

The fourth proportional to 7,092.82, 10,635 and 2,161 is: 3,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.82 : 10,635 = 2,161 : x
  2. Step 2: Convert to fraction form
    7,092.82/10,635 = 2,161/x
  3. Step 3: Cross multiply
    7,092.82x = 10,635 × 2,161
  4. Step 4: Simplify right side
    7,092.82x = 22,982,235
  5. Step 5: Solve for x
    x = 22,982,235/7,092.82
  6. Step 6: Final answer
    x = 3,240.21

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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.