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Finding the Fourth Proportional to 8,296.30, 11,450.46 and 4,761.82

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Solution

The fourth proportional to 8,296.30, 11,450.46 and 4,761.82 is: 6,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.30 : 11,450.46 = 4,761.82 : x
  2. Step 2: Convert to fraction form
    8,296.30/11,450.46 = 4,761.82/x
  3. Step 3: Cross multiply
    8,296.30x = 11,450.46 × 4,761.82
  4. Step 4: Simplify right side
    8,296.30x = 54,525,029.44
  5. Step 5: Solve for x
    x = 54,525,029.44/8,296.30
  6. Step 6: Final answer
    x = 6,572.21

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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.