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Finding the Fourth Proportional to 7,757.92, 11,629.93 and 2,824.07

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Solution

The fourth proportional to 7,757.92, 11,629.93 and 2,824.07 is: 4,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.92 : 11,629.93 = 2,824.07 : x
  2. Step 2: Convert to fraction form
    7,757.92/11,629.93 = 2,824.07/x
  3. Step 3: Cross multiply
    7,757.92x = 11,629.93 × 2,824.07
  4. Step 4: Simplify right side
    7,757.92x = 32,843,736.42
  5. Step 5: Solve for x
    x = 32,843,736.42/7,757.92
  6. Step 6: Final answer
    x = 4,233.58

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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.