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Finding the Fourth Proportional to 8,241.32, 11,378.27 and 5,413.73

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Solution

The fourth proportional to 8,241.32, 11,378.27 and 5,413.73 is: 7,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.32 : 11,378.27 = 5,413.73 : x
  2. Step 2: Convert to fraction form
    8,241.32/11,378.27 = 5,413.73/x
  3. Step 3: Cross multiply
    8,241.32x = 11,378.27 × 5,413.73
  4. Step 4: Simplify right side
    8,241.32x = 61,598,838.29
  5. Step 5: Solve for x
    x = 61,598,838.29/8,241.32
  6. Step 6: Final answer
    x = 7,474.39

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Why These Related Problems?

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