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Finding the Fourth Proportional to 7,344.74, 11,017.82 and 2,413.19

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Solution

The fourth proportional to 7,344.74, 11,017.82 and 2,413.19 is: 3,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.74 : 11,017.82 = 2,413.19 : x
  2. Step 2: Convert to fraction form
    7,344.74/11,017.82 = 2,413.19/x
  3. Step 3: Cross multiply
    7,344.74x = 11,017.82 × 2,413.19
  4. Step 4: Simplify right side
    7,344.74x = 26,588,126.62
  5. Step 5: Solve for x
    x = 26,588,126.62/7,344.74
  6. Step 6: Final answer
    x = 3,620.02

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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.