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Finding the Fourth Proportional to 6,772.68, 10,154.16 and 3,309.12

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Solution

The fourth proportional to 6,772.68, 10,154.16 and 3,309.12 is: 4,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.68 : 10,154.16 = 3,309.12 : x
  2. Step 2: Convert to fraction form
    6,772.68/10,154.16 = 3,309.12/x
  3. Step 3: Cross multiply
    6,772.68x = 10,154.16 × 3,309.12
  4. Step 4: Simplify right side
    6,772.68x = 33,601,333.94
  5. Step 5: Solve for x
    x = 33,601,333.94/6,772.68
  6. Step 6: Final answer
    x = 4,961.31

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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.