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Finding the Fourth Proportional to 11,961.46, 16,489.70 and 8,413.66

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Solution

The fourth proportional to 11,961.46, 16,489.70 and 8,413.66 is: 11,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.46 : 16,489.70 = 8,413.66 : x
  2. Step 2: Convert to fraction form
    11,961.46/16,489.70 = 8,413.66/x
  3. Step 3: Cross multiply
    11,961.46x = 16,489.70 × 8,413.66
  4. Step 4: Simplify right side
    11,961.46x = 138,738,670.31
  5. Step 5: Solve for x
    x = 138,738,670.31/11,961.46
  6. Step 6: Final answer
    x = 11,598.81

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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.