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Finding the Fourth Proportional to 7,164.32, 10,725.24 and 6,413.48

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Solution

The fourth proportional to 7,164.32, 10,725.24 and 6,413.48 is: 9,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.32 : 10,725.24 = 6,413.48 : x
  2. Step 2: Convert to fraction form
    7,164.32/10,725.24 = 6,413.48/x
  3. Step 3: Cross multiply
    7,164.32x = 10,725.24 × 6,413.48
  4. Step 4: Simplify right side
    7,164.32x = 68,786,112.24
  5. Step 5: Solve for x
    x = 68,786,112.24/7,164.32
  6. Step 6: Final answer
    x = 9,601.21

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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.