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Finding the Fourth Proportional to 11,578.92, 17,365.64 and 3,259.68

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Solution

The fourth proportional to 11,578.92, 17,365.64 and 3,259.68 is: 4,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.92 : 17,365.64 = 3,259.68 : x
  2. Step 2: Convert to fraction form
    11,578.92/17,365.64 = 3,259.68/x
  3. Step 3: Cross multiply
    11,578.92x = 17,365.64 × 3,259.68
  4. Step 4: Simplify right side
    11,578.92x = 56,606,413.10
  5. Step 5: Solve for x
    x = 56,606,413.10/11,578.92
  6. Step 6: Final answer
    x = 4,888.75

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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.