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Finding the Fourth Proportional to 11,614.26, 17,413.64 and 4,217.76

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Solution

The fourth proportional to 11,614.26, 17,413.64 and 4,217.76 is: 6,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.26 : 17,413.64 = 4,217.76 : x
  2. Step 2: Convert to fraction form
    11,614.26/17,413.64 = 4,217.76/x
  3. Step 3: Cross multiply
    11,614.26x = 17,413.64 × 4,217.76
  4. Step 4: Simplify right side
    11,614.26x = 73,446,554.25
  5. Step 5: Solve for x
    x = 73,446,554.25/11,614.26
  6. Step 6: Final answer
    x = 6,323.83

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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.