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Finding the Fourth Proportional to 7,201.28, 10,801.92 and 2,007.20

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Solution

The fourth proportional to 7,201.28, 10,801.92 and 2,007.20 is: 3,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.28 : 10,801.92 = 2,007.20 : x
  2. Step 2: Convert to fraction form
    7,201.28/10,801.92 = 2,007.20/x
  3. Step 3: Cross multiply
    7,201.28x = 10,801.92 × 2,007.20
  4. Step 4: Simplify right side
    7,201.28x = 21,681,613.82
  5. Step 5: Solve for x
    x = 21,681,613.82/7,201.28
  6. Step 6: Final answer
    x = 3,010.80

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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.