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Finding the Fourth Proportional to 6,778.56, 10,162.62 and 3,266.76

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Solution

The fourth proportional to 6,778.56, 10,162.62 and 3,266.76 is: 4,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.56 : 10,162.62 = 3,266.76 : x
  2. Step 2: Convert to fraction form
    6,778.56/10,162.62 = 3,266.76/x
  3. Step 3: Cross multiply
    6,778.56x = 10,162.62 × 3,266.76
  4. Step 4: Simplify right side
    6,778.56x = 33,198,840.51
  5. Step 5: Solve for x
    x = 33,198,840.51/6,778.56
  6. Step 6: Final answer
    x = 4,897.62

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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.