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Finding the Fourth Proportional to 7,728.27, 11,608.22 and 5,099.55

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Solution

The fourth proportional to 7,728.27, 11,608.22 and 5,099.55 is: 7,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.27 : 11,608.22 = 5,099.55 : x
  2. Step 2: Convert to fraction form
    7,728.27/11,608.22 = 5,099.55/x
  3. Step 3: Cross multiply
    7,728.27x = 11,608.22 × 5,099.55
  4. Step 4: Simplify right side
    7,728.27x = 59,196,698.30
  5. Step 5: Solve for x
    x = 59,196,698.30/7,728.27
  6. Step 6: Final answer
    x = 7,659.76

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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.