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Finding the Fourth Proportional to 7,162.97, 10,744.38 and 2,783.50

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Solution

The fourth proportional to 7,162.97, 10,744.38 and 2,783.50 is: 4,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.97 : 10,744.38 = 2,783.50 : x
  2. Step 2: Convert to fraction form
    7,162.97/10,744.38 = 2,783.50/x
  3. Step 3: Cross multiply
    7,162.97x = 10,744.38 × 2,783.50
  4. Step 4: Simplify right side
    7,162.97x = 29,906,954.87
  5. Step 5: Solve for x
    x = 29,906,954.87/7,162.97
  6. Step 6: Final answer
    x = 4,175.22

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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.