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Finding the Fourth Proportional to 8,207.75, 11,326.70 and 4,481.75

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Solution

The fourth proportional to 8,207.75, 11,326.70 and 4,481.75 is: 6,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.75 : 11,326.70 = 4,481.75 : x
  2. Step 2: Convert to fraction form
    8,207.75/11,326.70 = 4,481.75/x
  3. Step 3: Cross multiply
    8,207.75x = 11,326.70 × 4,481.75
  4. Step 4: Simplify right side
    8,207.75x = 50,763,437.73
  5. Step 5: Solve for x
    x = 50,763,437.73/8,207.75
  6. Step 6: Final answer
    x = 6,184.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.