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Finding the Fourth Proportional to 11,413.59, 17,122 and 3,516.75

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Solution

The fourth proportional to 11,413.59, 17,122 and 3,516.75 is: 5,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.59 : 17,122 = 3,516.75 : x
  2. Step 2: Convert to fraction form
    11,413.59/17,122 = 3,516.75/x
  3. Step 3: Cross multiply
    11,413.59x = 17,122 × 3,516.75
  4. Step 4: Simplify right side
    11,413.59x = 60,213,707.89
  5. Step 5: Solve for x
    x = 60,213,707.89/11,413.59
  6. Step 6: Final answer
    x = 5,275.62

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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.