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Finding the Fourth Proportional to 7,122.75, 10,684.13 and 2,192.28

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Solution

The fourth proportional to 7,122.75, 10,684.13 and 2,192.28 is: 3,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.75 : 10,684.13 = 2,192.28 : x
  2. Step 2: Convert to fraction form
    7,122.75/10,684.13 = 2,192.28/x
  3. Step 3: Cross multiply
    7,122.75x = 10,684.13 × 2,192.28
  4. Step 4: Simplify right side
    7,122.75x = 23,422,553.49
  5. Step 5: Solve for x
    x = 23,422,553.49/7,122.75
  6. Step 6: Final answer
    x = 3,288.42

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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.