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Finding the Fourth Proportional to 7,187.87, 10,781.84 and 1,993.75

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Solution

The fourth proportional to 7,187.87, 10,781.84 and 1,993.75 is: 2,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.87 : 10,781.84 = 1,993.75 : x
  2. Step 2: Convert to fraction form
    7,187.87/10,781.84 = 1,993.75/x
  3. Step 3: Cross multiply
    7,187.87x = 10,781.84 × 1,993.75
  4. Step 4: Simplify right side
    7,187.87x = 21,496,271.53
  5. Step 5: Solve for x
    x = 21,496,271.53/7,187.87
  6. Step 6: Final answer
    x = 2,990.63

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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.