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Finding the Fourth Proportional to 7,757.12, 11,633.04 and 2,561.72

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Solution

The fourth proportional to 7,757.12, 11,633.04 and 2,561.72 is: 3,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.12 : 11,633.04 = 2,561.72 : x
  2. Step 2: Convert to fraction form
    7,757.12/11,633.04 = 2,561.72/x
  3. Step 3: Cross multiply
    7,757.12x = 11,633.04 × 2,561.72
  4. Step 4: Simplify right side
    7,757.12x = 29,800,591.23
  5. Step 5: Solve for x
    x = 29,800,591.23/7,757.12
  6. Step 6: Final answer
    x = 3,841.71

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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.