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Finding the Fourth Proportional to 11,966.42, 17,951.76 and 4,942.60

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Solution

The fourth proportional to 11,966.42, 17,951.76 and 4,942.60 is: 7,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.42 : 17,951.76 = 4,942.60 : x
  2. Step 2: Convert to fraction form
    11,966.42/17,951.76 = 4,942.60/x
  3. Step 3: Cross multiply
    11,966.42x = 17,951.76 × 4,942.60
  4. Step 4: Simplify right side
    11,966.42x = 88,728,368.98
  5. Step 5: Solve for x
    x = 88,728,368.98/11,966.42
  6. Step 6: Final answer
    x = 7,414.78

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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.