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Finding the Fourth Proportional to 7,657.44, 11,481.78 and 3,211.36

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Solution

The fourth proportional to 7,657.44, 11,481.78 and 3,211.36 is: 4,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.44 : 11,481.78 = 3,211.36 : x
  2. Step 2: Convert to fraction form
    7,657.44/11,481.78 = 3,211.36/x
  3. Step 3: Cross multiply
    7,657.44x = 11,481.78 × 3,211.36
  4. Step 4: Simplify right side
    7,657.44x = 36,872,129.02
  5. Step 5: Solve for x
    x = 36,872,129.02/7,657.44
  6. Step 6: Final answer
    x = 4,815.20

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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.