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Finding the Fourth Proportional to 8,131.90, 11,221.97 and 4,546.85

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Solution

The fourth proportional to 8,131.90, 11,221.97 and 4,546.85 is: 6,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.90 : 11,221.97 = 4,546.85 : x
  2. Step 2: Convert to fraction form
    8,131.90/11,221.97 = 4,546.85/x
  3. Step 3: Cross multiply
    8,131.90x = 11,221.97 × 4,546.85
  4. Step 4: Simplify right side
    8,131.90x = 51,024,636.67
  5. Step 5: Solve for x
    x = 51,024,636.67/8,131.90
  6. Step 6: Final answer
    x = 6,274.63

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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.