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Finding the Fourth Proportional to 11,656.69, 17,485.02 and 5,413.29

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Solution

The fourth proportional to 11,656.69, 17,485.02 and 5,413.29 is: 8,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.69 : 17,485.02 = 5,413.29 : x
  2. Step 2: Convert to fraction form
    11,656.69/17,485.02 = 5,413.29/x
  3. Step 3: Cross multiply
    11,656.69x = 17,485.02 × 5,413.29
  4. Step 4: Simplify right side
    11,656.69x = 94,651,483.92
  5. Step 5: Solve for x
    x = 94,651,483.92/11,656.69
  6. Step 6: Final answer
    x = 8,119.93

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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.