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Finding the Fourth Proportional to 7,990.48, 11,972.52 and 4,906

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Solution

The fourth proportional to 7,990.48, 11,972.52 and 4,906 is: 7,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.48 : 11,972.52 = 4,906 : x
  2. Step 2: Convert to fraction form
    7,990.48/11,972.52 = 4,906/x
  3. Step 3: Cross multiply
    7,990.48x = 11,972.52 × 4,906
  4. Step 4: Simplify right side
    7,990.48x = 58,737,183.12
  5. Step 5: Solve for x
    x = 58,737,183.12/7,990.48
  6. Step 6: Final answer
    x = 7,350.90

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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.