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Finding the Fourth Proportional to 7,757.08, 11,635.26 and 2,563

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Solution

The fourth proportional to 7,757.08, 11,635.26 and 2,563 is: 3,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.08 : 11,635.26 = 2,563 : x
  2. Step 2: Convert to fraction form
    7,757.08/11,635.26 = 2,563/x
  3. Step 3: Cross multiply
    7,757.08x = 11,635.26 × 2,563
  4. Step 4: Simplify right side
    7,757.08x = 29,821,171.38
  5. Step 5: Solve for x
    x = 29,821,171.38/7,757.08
  6. Step 6: Final answer
    x = 3,844.38

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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.