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Finding the Fourth Proportional to 11,664.41, 16,091.82 and 7,413.20

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Solution

The fourth proportional to 11,664.41, 16,091.82 and 7,413.20 is: 10,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.41 : 16,091.82 = 7,413.20 : x
  2. Step 2: Convert to fraction form
    11,664.41/16,091.82 = 7,413.20/x
  3. Step 3: Cross multiply
    11,664.41x = 16,091.82 × 7,413.20
  4. Step 4: Simplify right side
    11,664.41x = 119,291,799.56
  5. Step 5: Solve for x
    x = 119,291,799.56/11,664.41
  6. Step 6: Final answer
    x = 10,226.99

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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.