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Finding the Fourth Proportional to 11,506.78, 17,260.38 and 3,609.12

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Solution

The fourth proportional to 11,506.78, 17,260.38 and 3,609.12 is: 5,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.78 : 17,260.38 = 3,609.12 : x
  2. Step 2: Convert to fraction form
    11,506.78/17,260.38 = 3,609.12/x
  3. Step 3: Cross multiply
    11,506.78x = 17,260.38 × 3,609.12
  4. Step 4: Simplify right side
    11,506.78x = 62,294,796.20
  5. Step 5: Solve for x
    x = 62,294,796.20/11,506.78
  6. Step 6: Final answer
    x = 5,413.75

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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.