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Finding the Fourth Proportional to 7,770.75, 10,723.91 and 4,413.71

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Solution

The fourth proportional to 7,770.75, 10,723.91 and 4,413.71 is: 6,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.75 : 10,723.91 = 4,413.71 : x
  2. Step 2: Convert to fraction form
    7,770.75/10,723.91 = 4,413.71/x
  3. Step 3: Cross multiply
    7,770.75x = 10,723.91 × 4,413.71
  4. Step 4: Simplify right side
    7,770.75x = 47,332,153.12
  5. Step 5: Solve for x
    x = 47,332,153.12/7,770.75
  6. Step 6: Final answer
    x = 6,091.07

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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.