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Finding the Fourth Proportional to 7,894.72, 11,842.06 and 7,413.56

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Solution

The fourth proportional to 7,894.72, 11,842.06 and 7,413.56 is: 11,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.72 : 11,842.06 = 7,413.56 : x
  2. Step 2: Convert to fraction form
    7,894.72/11,842.06 = 7,413.56/x
  3. Step 3: Cross multiply
    7,894.72x = 11,842.06 × 7,413.56
  4. Step 4: Simplify right side
    7,894.72x = 87,791,822.33
  5. Step 5: Solve for x
    x = 87,791,822.33/7,894.72
  6. Step 6: Final answer
    x = 11,120.32

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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.