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Finding the Fourth Proportional to 7,993.12, 11,990.16 and 2,446.86

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Solution

The fourth proportional to 7,993.12, 11,990.16 and 2,446.86 is: 3,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.12 : 11,990.16 = 2,446.86 : x
  2. Step 2: Convert to fraction form
    7,993.12/11,990.16 = 2,446.86/x
  3. Step 3: Cross multiply
    7,993.12x = 11,990.16 × 2,446.86
  4. Step 4: Simplify right side
    7,993.12x = 29,338,242.90
  5. Step 5: Solve for x
    x = 29,338,242.90/7,993.12
  6. Step 6: Final answer
    x = 3,670.44

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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.