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Finding the Fourth Proportional to 7,028.27, 10,542.20 and 1,834.14

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Solution

The fourth proportional to 7,028.27, 10,542.20 and 1,834.14 is: 2,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.27 : 10,542.20 = 1,834.14 : x
  2. Step 2: Convert to fraction form
    7,028.27/10,542.20 = 1,834.14/x
  3. Step 3: Cross multiply
    7,028.27x = 10,542.20 × 1,834.14
  4. Step 4: Simplify right side
    7,028.27x = 19,335,861.54
  5. Step 5: Solve for x
    x = 19,335,861.54/7,028.27
  6. Step 6: Final answer
    x = 2,751.16

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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.