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Finding the Fourth Proportional to 7,960.59, 11,946.38 and 2,766.47

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Solution

The fourth proportional to 7,960.59, 11,946.38 and 2,766.47 is: 4,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.59 : 11,946.38 = 2,766.47 : x
  2. Step 2: Convert to fraction form
    7,960.59/11,946.38 = 2,766.47/x
  3. Step 3: Cross multiply
    7,960.59x = 11,946.38 × 2,766.47
  4. Step 4: Simplify right side
    7,960.59x = 33,049,228.31
  5. Step 5: Solve for x
    x = 33,049,228.31/7,960.59
  6. Step 6: Final answer
    x = 4,151.61

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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.