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Finding the Fourth Proportional to 7,657.25, 11,481.63 and 2,974.37

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Solution

The fourth proportional to 7,657.25, 11,481.63 and 2,974.37 is: 4,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.25 : 11,481.63 = 2,974.37 : x
  2. Step 2: Convert to fraction form
    7,657.25/11,481.63 = 2,974.37/x
  3. Step 3: Cross multiply
    7,657.25x = 11,481.63 × 2,974.37
  4. Step 4: Simplify right side
    7,657.25x = 34,150,615.82
  5. Step 5: Solve for x
    x = 34,150,615.82/7,657.25
  6. Step 6: Final answer
    x = 4,459.91

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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.