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Finding the Fourth Proportional to 6,777.46, 10,157.68 and 3,657.34

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Solution

The fourth proportional to 6,777.46, 10,157.68 and 3,657.34 is: 5,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.46 : 10,157.68 = 3,657.34 : x
  2. Step 2: Convert to fraction form
    6,777.46/10,157.68 = 3,657.34/x
  3. Step 3: Cross multiply
    6,777.46x = 10,157.68 × 3,657.34
  4. Step 4: Simplify right side
    6,777.46x = 37,150,089.37
  5. Step 5: Solve for x
    x = 37,150,089.37/6,777.46
  6. Step 6: Final answer
    x = 5,481.42

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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.