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Finding the Fourth Proportional to 11,609.32, 17,413.95 and 4,213.75

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Solution

The fourth proportional to 11,609.32, 17,413.95 and 4,213.75 is: 6,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.32 : 17,413.95 = 4,213.75 : x
  2. Step 2: Convert to fraction form
    11,609.32/17,413.95 = 4,213.75/x
  3. Step 3: Cross multiply
    11,609.32x = 17,413.95 × 4,213.75
  4. Step 4: Simplify right side
    11,609.32x = 73,377,944.74
  5. Step 5: Solve for x
    x = 73,377,944.74/11,609.32
  6. Step 6: Final answer
    x = 6,320.61

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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.