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Finding the Fourth Proportional to 11,995, 17,993.46 and 3,787

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Solution

The fourth proportional to 11,995, 17,993.46 and 3,787 is: 5,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995 : 17,993.46 = 3,787 : x
  2. Step 2: Convert to fraction form
    11,995/17,993.46 = 3,787/x
  3. Step 3: Cross multiply
    11,995x = 17,993.46 × 3,787
  4. Step 4: Simplify right side
    11,995x = 68,141,233.02
  5. Step 5: Solve for x
    x = 68,141,233.02/11,995
  6. Step 6: Final answer
    x = 5,680.80

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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.