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Finding the Fourth Proportional to 7,311.61, 10,969.03 and 3,413.89

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Solution

The fourth proportional to 7,311.61, 10,969.03 and 3,413.89 is: 5,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.61 : 10,969.03 = 3,413.89 : x
  2. Step 2: Convert to fraction form
    7,311.61/10,969.03 = 3,413.89/x
  3. Step 3: Cross multiply
    7,311.61x = 10,969.03 × 3,413.89
  4. Step 4: Simplify right side
    7,311.61x = 37,447,061.83
  5. Step 5: Solve for x
    x = 37,447,061.83/7,311.61
  6. Step 6: Final answer
    x = 5,121.59

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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.