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Finding the Fourth Proportional to 11,399.22, 15,730.34 and 8,413.97

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Solution

The fourth proportional to 11,399.22, 15,730.34 and 8,413.97 is: 11,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.22 : 15,730.34 = 8,413.97 : x
  2. Step 2: Convert to fraction form
    11,399.22/15,730.34 = 8,413.97/x
  3. Step 3: Cross multiply
    11,399.22x = 15,730.34 × 8,413.97
  4. Step 4: Simplify right side
    11,399.22x = 132,354,488.13
  5. Step 5: Solve for x
    x = 132,354,488.13/11,399.22
  6. Step 6: Final answer
    x = 11,610.84

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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.