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Finding the Fourth Proportional to 7,757.82, 11,637.81 and 2,829.78

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Solution

The fourth proportional to 7,757.82, 11,637.81 and 2,829.78 is: 4,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.82 : 11,637.81 = 2,829.78 : x
  2. Step 2: Convert to fraction form
    7,757.82/11,637.81 = 2,829.78/x
  3. Step 3: Cross multiply
    7,757.82x = 11,637.81 × 2,829.78
  4. Step 4: Simplify right side
    7,757.82x = 32,932,441.98
  5. Step 5: Solve for x
    x = 32,932,441.98/7,757.82
  6. Step 6: Final answer
    x = 4,245.06

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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.