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Finding the Fourth Proportional to 8,413.68, 11,608.74 and 5,619.72

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Solution

The fourth proportional to 8,413.68, 11,608.74 and 5,619.72 is: 7,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.68 : 11,608.74 = 5,619.72 : x
  2. Step 2: Convert to fraction form
    8,413.68/11,608.74 = 5,619.72/x
  3. Step 3: Cross multiply
    8,413.68x = 11,608.74 × 5,619.72
  4. Step 4: Simplify right side
    8,413.68x = 65,237,868.35
  5. Step 5: Solve for x
    x = 65,237,868.35/8,413.68
  6. Step 6: Final answer
    x = 7,753.79

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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.