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Finding the Fourth Proportional to 7,759, 11,634.54 and 2,563

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Solution

The fourth proportional to 7,759, 11,634.54 and 2,563 is: 3,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759 : 11,634.54 = 2,563 : x
  2. Step 2: Convert to fraction form
    7,759/11,634.54 = 2,563/x
  3. Step 3: Cross multiply
    7,759x = 11,634.54 × 2,563
  4. Step 4: Simplify right side
    7,759x = 29,819,326.02
  5. Step 5: Solve for x
    x = 29,819,326.02/7,759
  6. Step 6: Final answer
    x = 3,843.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.