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Finding the Fourth Proportional to 7,227.97, 10,843.49 and 2,547.79

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Solution

The fourth proportional to 7,227.97, 10,843.49 and 2,547.79 is: 3,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.97 : 10,843.49 = 2,547.79 : x
  2. Step 2: Convert to fraction form
    7,227.97/10,843.49 = 2,547.79/x
  3. Step 3: Cross multiply
    7,227.97x = 10,843.49 × 2,547.79
  4. Step 4: Simplify right side
    7,227.97x = 27,626,935.39
  5. Step 5: Solve for x
    x = 27,626,935.39/7,227.97
  6. Step 6: Final answer
    x = 3,822.23

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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.