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Finding the Fourth Proportional to 7,202.72, 9,940.38 and 4,059.92

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Solution

The fourth proportional to 7,202.72, 9,940.38 and 4,059.92 is: 5,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.72 : 9,940.38 = 4,059.92 : x
  2. Step 2: Convert to fraction form
    7,202.72/9,940.38 = 4,059.92/x
  3. Step 3: Cross multiply
    7,202.72x = 9,940.38 × 4,059.92
  4. Step 4: Simplify right side
    7,202.72x = 40,357,147.57
  5. Step 5: Solve for x
    x = 40,357,147.57/7,202.72
  6. Step 6: Final answer
    x = 5,603.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.