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Finding the Fourth Proportional to 7,757.78, 11,636.82 and 1,914.44

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Solution

The fourth proportional to 7,757.78, 11,636.82 and 1,914.44 is: 2,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.78 : 11,636.82 = 1,914.44 : x
  2. Step 2: Convert to fraction form
    7,757.78/11,636.82 = 1,914.44/x
  3. Step 3: Cross multiply
    7,757.78x = 11,636.82 × 1,914.44
  4. Step 4: Simplify right side
    7,757.78x = 22,277,935.50
  5. Step 5: Solve for x
    x = 22,277,935.50/7,757.78
  6. Step 6: Final answer
    x = 2,871.69

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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.