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Finding the Fourth Proportional to 7,083.92, 10,629.21 and 3,387.27

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Solution

The fourth proportional to 7,083.92, 10,629.21 and 3,387.27 is: 5,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.92 : 10,629.21 = 3,387.27 : x
  2. Step 2: Convert to fraction form
    7,083.92/10,629.21 = 3,387.27/x
  3. Step 3: Cross multiply
    7,083.92x = 10,629.21 × 3,387.27
  4. Step 4: Simplify right side
    7,083.92x = 36,004,004.16
  5. Step 5: Solve for x
    x = 36,004,004.16/7,083.92
  6. Step 6: Final answer
    x = 5,082.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.