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Finding the Fourth Proportional to 7,993.72, 11,991.14 and 2,446.64

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Solution

The fourth proportional to 7,993.72, 11,991.14 and 2,446.64 is: 3,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.72 : 11,991.14 = 2,446.64 : x
  2. Step 2: Convert to fraction form
    7,993.72/11,991.14 = 2,446.64/x
  3. Step 3: Cross multiply
    7,993.72x = 11,991.14 × 2,446.64
  4. Step 4: Simplify right side
    7,993.72x = 29,338,002.77
  5. Step 5: Solve for x
    x = 29,338,002.77/7,993.72
  6. Step 6: Final answer
    x = 3,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.