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Finding the Fourth Proportional to 11,659.08, 16,091.30 and 7,413.60

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Solution

The fourth proportional to 11,659.08, 16,091.30 and 7,413.60 is: 10,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.08 : 16,091.30 = 7,413.60 : x
  2. Step 2: Convert to fraction form
    11,659.08/16,091.30 = 7,413.60/x
  3. Step 3: Cross multiply
    11,659.08x = 16,091.30 × 7,413.60
  4. Step 4: Simplify right side
    11,659.08x = 119,294,461.68
  5. Step 5: Solve for x
    x = 119,294,461.68/11,659.08
  6. Step 6: Final answer
    x = 10,231.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.