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Finding the Fourth Proportional to 6,728.80, 10,091.76 and 2,109.28

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Solution

The fourth proportional to 6,728.80, 10,091.76 and 2,109.28 is: 3,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.80 : 10,091.76 = 2,109.28 : x
  2. Step 2: Convert to fraction form
    6,728.80/10,091.76 = 2,109.28/x
  3. Step 3: Cross multiply
    6,728.80x = 10,091.76 × 2,109.28
  4. Step 4: Simplify right side
    6,728.80x = 21,286,347.53
  5. Step 5: Solve for x
    x = 21,286,347.53/6,728.80
  6. Step 6: Final answer
    x = 3,163.47

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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.