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Finding the Fourth Proportional to 8,148.75, 12,231.77 and 7,217.74

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Solution

The fourth proportional to 8,148.75, 12,231.77 and 7,217.74 is: 10,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.75 : 12,231.77 = 7,217.74 : x
  2. Step 2: Convert to fraction form
    8,148.75/12,231.77 = 7,217.74/x
  3. Step 3: Cross multiply
    8,148.75x = 12,231.77 × 7,217.74
  4. Step 4: Simplify right side
    8,148.75x = 88,285,735.60
  5. Step 5: Solve for x
    x = 88,285,735.60/8,148.75
  6. Step 6: Final answer
    x = 10,834.27

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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.