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Finding the Fourth Proportional to 8,099.72, 12,149.57 and 4,634.54

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Solution

The fourth proportional to 8,099.72, 12,149.57 and 4,634.54 is: 6,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.72 : 12,149.57 = 4,634.54 : x
  2. Step 2: Convert to fraction form
    8,099.72/12,149.57 = 4,634.54/x
  3. Step 3: Cross multiply
    8,099.72x = 12,149.57 × 4,634.54
  4. Step 4: Simplify right side
    8,099.72x = 56,307,584.23
  5. Step 5: Solve for x
    x = 56,307,584.23/8,099.72
  6. Step 6: Final answer
    x = 6,951.80

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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.