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Finding the Fourth Proportional to 8,413.70, 11,611.77 and 5,057.60

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Solution

The fourth proportional to 8,413.70, 11,611.77 and 5,057.60 is: 6,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.70 : 11,611.77 = 5,057.60 : x
  2. Step 2: Convert to fraction form
    8,413.70/11,611.77 = 5,057.60/x
  3. Step 3: Cross multiply
    8,413.70x = 11,611.77 × 5,057.60
  4. Step 4: Simplify right side
    8,413.70x = 58,727,687.95
  5. Step 5: Solve for x
    x = 58,727,687.95/8,413.70
  6. Step 6: Final answer
    x = 6,980.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.