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Finding the Fourth Proportional to 7,185.93, 10,778.90 and 1,991.80

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Solution

The fourth proportional to 7,185.93, 10,778.90 and 1,991.80 is: 2,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.93 : 10,778.90 = 1,991.80 : x
  2. Step 2: Convert to fraction form
    7,185.93/10,778.90 = 1,991.80/x
  3. Step 3: Cross multiply
    7,185.93x = 10,778.90 × 1,991.80
  4. Step 4: Simplify right side
    7,185.93x = 21,469,413.02
  5. Step 5: Solve for x
    x = 21,469,413.02/7,185.93
  6. Step 6: Final answer
    x = 2,987.70

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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.