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Finding the Fourth Proportional to 8,379.42, 11,546.91 and 5,982.63

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Solution

The fourth proportional to 8,379.42, 11,546.91 and 5,982.63 is: 8,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.42 : 11,546.91 = 5,982.63 : x
  2. Step 2: Convert to fraction form
    8,379.42/11,546.91 = 5,982.63/x
  3. Step 3: Cross multiply
    8,379.42x = 11,546.91 × 5,982.63
  4. Step 4: Simplify right side
    8,379.42x = 69,080,890.17
  5. Step 5: Solve for x
    x = 69,080,890.17/8,379.42
  6. Step 6: Final answer
    x = 8,244.11

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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.