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Finding the Fourth Proportional to 7,770.69, 10,723.20 and 4,413.06

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Solution

The fourth proportional to 7,770.69, 10,723.20 and 4,413.06 is: 6,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.69 : 10,723.20 = 4,413.06 : x
  2. Step 2: Convert to fraction form
    7,770.69/10,723.20 = 4,413.06/x
  3. Step 3: Cross multiply
    7,770.69x = 10,723.20 × 4,413.06
  4. Step 4: Simplify right side
    7,770.69x = 47,322,124.99
  5. Step 5: Solve for x
    x = 47,322,124.99/7,770.69
  6. Step 6: Final answer
    x = 6,089.82

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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.