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Finding the Fourth Proportional to 7,966.50, 11,951.20 and 3,283.92

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Solution

The fourth proportional to 7,966.50, 11,951.20 and 3,283.92 is: 4,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.50 : 11,951.20 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    7,966.50/11,951.20 = 3,283.92/x
  3. Step 3: Cross multiply
    7,966.50x = 11,951.20 × 3,283.92
  4. Step 4: Simplify right side
    7,966.50x = 39,246,736.72
  5. Step 5: Solve for x
    x = 39,246,736.72/7,966.50
  6. Step 6: Final answer
    x = 4,926.47

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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.