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Finding the Fourth Proportional to 7,968.68, 11,942.10 and 4,064.90

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Solution

The fourth proportional to 7,968.68, 11,942.10 and 4,064.90 is: 6,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.68 : 11,942.10 = 4,064.90 : x
  2. Step 2: Convert to fraction form
    7,968.68/11,942.10 = 4,064.90/x
  3. Step 3: Cross multiply
    7,968.68x = 11,942.10 × 4,064.90
  4. Step 4: Simplify right side
    7,968.68x = 48,543,442.29
  5. Step 5: Solve for x
    x = 48,543,442.29/7,968.68
  6. Step 6: Final answer
    x = 6,091.78

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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.