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Finding the Fourth Proportional to 7,960.78, 11,941.17 and 2,766.66

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Solution

The fourth proportional to 7,960.78, 11,941.17 and 2,766.66 is: 4,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.78 : 11,941.17 = 2,766.66 : x
  2. Step 2: Convert to fraction form
    7,960.78/11,941.17 = 2,766.66/x
  3. Step 3: Cross multiply
    7,960.78x = 11,941.17 × 2,766.66
  4. Step 4: Simplify right side
    7,960.78x = 33,037,117.80
  5. Step 5: Solve for x
    x = 33,037,117.80/7,960.78
  6. Step 6: Final answer
    x = 4,149.98

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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.