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Finding the Fourth Proportional to 7,187.69, 10,781.53 and 1,993.56

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Solution

The fourth proportional to 7,187.69, 10,781.53 and 1,993.56 is: 2,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.69 : 10,781.53 = 1,993.56 : x
  2. Step 2: Convert to fraction form
    7,187.69/10,781.53 = 1,993.56/x
  3. Step 3: Cross multiply
    7,187.69x = 10,781.53 × 1,993.56
  4. Step 4: Simplify right side
    7,187.69x = 21,493,658.88
  5. Step 5: Solve for x
    x = 21,493,658.88/7,187.69
  6. Step 6: Final answer
    x = 2,990.34

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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.