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Finding the Fourth Proportional to 7,786.13, 10,744.95 and 4,249.43

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Solution

The fourth proportional to 7,786.13, 10,744.95 and 4,249.43 is: 5,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 10,744.95 = 4,249.43 : x
  2. Step 2: Convert to fraction form
    7,786.13/10,744.95 = 4,249.43/x
  3. Step 3: Cross multiply
    7,786.13x = 10,744.95 × 4,249.43
  4. Step 4: Simplify right side
    7,786.13x = 45,659,915.38
  5. Step 5: Solve for x
    x = 45,659,915.38/7,786.13
  6. Step 6: Final answer
    x = 5,864.27

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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.