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Finding the Fourth Proportional to 11,617.60, 17,413.76 and 3,820.80

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Solution

The fourth proportional to 11,617.60, 17,413.76 and 3,820.80 is: 5,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.60 : 17,413.76 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    11,617.60/17,413.76 = 3,820.80/x
  3. Step 3: Cross multiply
    11,617.60x = 17,413.76 × 3,820.80
  4. Step 4: Simplify right side
    11,617.60x = 66,534,494.21
  5. Step 5: Solve for x
    x = 66,534,494.21/11,617.60
  6. Step 6: Final answer
    x = 5,727.04

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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.