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Finding the Fourth Proportional to 7,801.41, 11,697.87 and 3,413.73

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Solution

The fourth proportional to 7,801.41, 11,697.87 and 3,413.73 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.41 : 11,697.87 = 3,413.73 : x
  2. Step 2: Convert to fraction form
    7,801.41/11,697.87 = 3,413.73/x
  3. Step 3: Cross multiply
    7,801.41x = 11,697.87 × 3,413.73
  4. Step 4: Simplify right side
    7,801.41x = 39,933,369.76
  5. Step 5: Solve for x
    x = 39,933,369.76/7,801.41
  6. Step 6: Final answer
    x = 5,118.74

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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.