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Finding the Fourth Proportional to 11,986.98, 17,971.69 and 5,741.61

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Solution

The fourth proportional to 11,986.98, 17,971.69 and 5,741.61 is: 8,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.98 : 17,971.69 = 5,741.61 : x
  2. Step 2: Convert to fraction form
    11,986.98/17,971.69 = 5,741.61/x
  3. Step 3: Cross multiply
    11,986.98x = 17,971.69 × 5,741.61
  4. Step 4: Simplify right side
    11,986.98x = 103,186,435.02
  5. Step 5: Solve for x
    x = 103,186,435.02/11,986.98
  6. Step 6: Final answer
    x = 8,608.21

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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.