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Finding the Fourth Proportional to 8,144.67, 11,229.80 and 6,883.50

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Solution

The fourth proportional to 8,144.67, 11,229.80 and 6,883.50 is: 9,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.67 : 11,229.80 = 6,883.50 : x
  2. Step 2: Convert to fraction form
    8,144.67/11,229.80 = 6,883.50/x
  3. Step 3: Cross multiply
    8,144.67x = 11,229.80 × 6,883.50
  4. Step 4: Simplify right side
    8,144.67x = 77,300,293.88
  5. Step 5: Solve for x
    x = 77,300,293.88/8,144.67
  6. Step 6: Final answer
    x = 9,490.91

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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.