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Finding the Fourth Proportional to 10,272.69, 15,409.14 and 3,608.89

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Solution

The fourth proportional to 10,272.69, 15,409.14 and 3,608.89 is: 5,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.69 : 15,409.14 = 3,608.89 : x
  2. Step 2: Convert to fraction form
    10,272.69/15,409.14 = 3,608.89/x
  3. Step 3: Cross multiply
    10,272.69x = 15,409.14 × 3,608.89
  4. Step 4: Simplify right side
    10,272.69x = 55,609,839.20
  5. Step 5: Solve for x
    x = 55,609,839.20/10,272.69
  6. Step 6: Final answer
    x = 5,413.37

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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.