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Finding the Fourth Proportional to 7,728.96, 11,589.64 and 2,797.84

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Solution

The fourth proportional to 7,728.96, 11,589.64 and 2,797.84 is: 4,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.96 : 11,589.64 = 2,797.84 : x
  2. Step 2: Convert to fraction form
    7,728.96/11,589.64 = 2,797.84/x
  3. Step 3: Cross multiply
    7,728.96x = 11,589.64 × 2,797.84
  4. Step 4: Simplify right side
    7,728.96x = 32,425,958.38
  5. Step 5: Solve for x
    x = 32,425,958.38/7,728.96
  6. Step 6: Final answer
    x = 4,195.38

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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.