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Finding the Fourth Proportional to 7,771.21, 10,724.25 and 4,413.86

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Solution

The fourth proportional to 7,771.21, 10,724.25 and 4,413.86 is: 6,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.21 : 10,724.25 = 4,413.86 : x
  2. Step 2: Convert to fraction form
    7,771.21/10,724.25 = 4,413.86/x
  3. Step 3: Cross multiply
    7,771.21x = 10,724.25 × 4,413.86
  4. Step 4: Simplify right side
    7,771.21x = 47,335,316.42
  5. Step 5: Solve for x
    x = 47,335,316.42/7,771.21
  6. Step 6: Final answer
    x = 6,091.11

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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.