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Finding the Fourth Proportional to 7,771.92, 11,648.12 and 6,121.95

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Solution

The fourth proportional to 7,771.92, 11,648.12 and 6,121.95 is: 9,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.92 : 11,648.12 = 6,121.95 : x
  2. Step 2: Convert to fraction form
    7,771.92/11,648.12 = 6,121.95/x
  3. Step 3: Cross multiply
    7,771.92x = 11,648.12 × 6,121.95
  4. Step 4: Simplify right side
    7,771.92x = 71,309,134.69
  5. Step 5: Solve for x
    x = 71,309,134.69/7,771.92
  6. Step 6: Final answer
    x = 9,175.23

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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.