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Finding the Fourth Proportional to 7,413.72, 10,207.62 and 6,292.32

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Solution

The fourth proportional to 7,413.72, 10,207.62 and 6,292.32 is: 8,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.72 : 10,207.62 = 6,292.32 : x
  2. Step 2: Convert to fraction form
    7,413.72/10,207.62 = 6,292.32/x
  3. Step 3: Cross multiply
    7,413.72x = 10,207.62 × 6,292.32
  4. Step 4: Simplify right side
    7,413.72x = 64,229,611.48
  5. Step 5: Solve for x
    x = 64,229,611.48/7,413.72
  6. Step 6: Final answer
    x = 8,663.61

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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.