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Finding the Fourth Proportional to 7,993.16, 11,989.29 and 2,446.49

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Solution

The fourth proportional to 7,993.16, 11,989.29 and 2,446.49 is: 3,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.16 : 11,989.29 = 2,446.49 : x
  2. Step 2: Convert to fraction form
    7,993.16/11,989.29 = 2,446.49/x
  3. Step 3: Cross multiply
    7,993.16x = 11,989.29 × 2,446.49
  4. Step 4: Simplify right side
    7,993.16x = 29,331,708.07
  5. Step 5: Solve for x
    x = 29,331,708.07/7,993.16
  6. Step 6: Final answer
    x = 3,669.60

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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.