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Finding the Fourth Proportional to 7,022.92, 10,534.92 and 2,092.48

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Solution

The fourth proportional to 7,022.92, 10,534.92 and 2,092.48 is: 3,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.92 : 10,534.92 = 2,092.48 : x
  2. Step 2: Convert to fraction form
    7,022.92/10,534.92 = 2,092.48/x
  3. Step 3: Cross multiply
    7,022.92x = 10,534.92 × 2,092.48
  4. Step 4: Simplify right side
    7,022.92x = 22,044,109.40
  5. Step 5: Solve for x
    x = 22,044,109.40/7,022.92
  6. Step 6: Final answer
    x = 3,138.88

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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.