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Finding the Fourth Proportional to 7,150.68, 10,728.36 and 3,685.68

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Solution

The fourth proportional to 7,150.68, 10,728.36 and 3,685.68 is: 5,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.68 : 10,728.36 = 3,685.68 : x
  2. Step 2: Convert to fraction form
    7,150.68/10,728.36 = 3,685.68/x
  3. Step 3: Cross multiply
    7,150.68x = 10,728.36 × 3,685.68
  4. Step 4: Simplify right side
    7,150.68x = 39,541,301.88
  5. Step 5: Solve for x
    x = 39,541,301.88/7,150.68
  6. Step 6: Final answer
    x = 5,529.73

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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.