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Finding the Fourth Proportional to 7,634.88, 11,456.64 and 3,251.88

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Solution

The fourth proportional to 7,634.88, 11,456.64 and 3,251.88 is: 4,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.88 : 11,456.64 = 3,251.88 : x
  2. Step 2: Convert to fraction form
    7,634.88/11,456.64 = 3,251.88/x
  3. Step 3: Cross multiply
    7,634.88x = 11,456.64 × 3,251.88
  4. Step 4: Simplify right side
    7,634.88x = 37,255,618.48
  5. Step 5: Solve for x
    x = 37,255,618.48/7,634.88
  6. Step 6: Final answer
    x = 4,879.66

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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.