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Finding the Fourth Proportional to 7,270.97, 10,903.61 and 3,112.97

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Solution

The fourth proportional to 7,270.97, 10,903.61 and 3,112.97 is: 4,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.97 : 10,903.61 = 3,112.97 : x
  2. Step 2: Convert to fraction form
    7,270.97/10,903.61 = 3,112.97/x
  3. Step 3: Cross multiply
    7,270.97x = 10,903.61 × 3,112.97
  4. Step 4: Simplify right side
    7,270.97x = 33,942,564.09
  5. Step 5: Solve for x
    x = 33,942,564.09/7,270.97
  6. Step 6: Final answer
    x = 4,668.23

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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.