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Finding the Fourth Proportional to 7,728.21, 11,576.93 and 5,759.91

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Solution

The fourth proportional to 7,728.21, 11,576.93 and 5,759.91 is: 8,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.21 : 11,576.93 = 5,759.91 : x
  2. Step 2: Convert to fraction form
    7,728.21/11,576.93 = 5,759.91/x
  3. Step 3: Cross multiply
    7,728.21x = 11,576.93 × 5,759.91
  4. Step 4: Simplify right side
    7,728.21x = 66,682,046.08
  5. Step 5: Solve for x
    x = 66,682,046.08/7,728.21
  6. Step 6: Final answer
    x = 8,628.39

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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.