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Finding the Fourth Proportional to 8,388.75, 11,577.59 and 5,413.23

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Solution

The fourth proportional to 8,388.75, 11,577.59 and 5,413.23 is: 7,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.75 : 11,577.59 = 5,413.23 : x
  2. Step 2: Convert to fraction form
    8,388.75/11,577.59 = 5,413.23/x
  3. Step 3: Cross multiply
    8,388.75x = 11,577.59 × 5,413.23
  4. Step 4: Simplify right side
    8,388.75x = 62,672,072.56
  5. Step 5: Solve for x
    x = 62,672,072.56/8,388.75
  6. Step 6: Final answer
    x = 7,470.97

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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.