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Finding the Fourth Proportional to 7,781.75, 10,738.38 and 4,424.09

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Solution

The fourth proportional to 7,781.75, 10,738.38 and 4,424.09 is: 6,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.75 : 10,738.38 = 4,424.09 : x
  2. Step 2: Convert to fraction form
    7,781.75/10,738.38 = 4,424.09/x
  3. Step 3: Cross multiply
    7,781.75x = 10,738.38 × 4,424.09
  4. Step 4: Simplify right side
    7,781.75x = 47,507,505.88
  5. Step 5: Solve for x
    x = 47,507,505.88/7,781.75
  6. Step 6: Final answer
    x = 6,104.99

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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.