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Finding the Fourth Proportional to 8,297.32, 11,450.21 and 4,761.09

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Solution

The fourth proportional to 8,297.32, 11,450.21 and 4,761.09 is: 6,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.32 : 11,450.21 = 4,761.09 : x
  2. Step 2: Convert to fraction form
    8,297.32/11,450.21 = 4,761.09/x
  3. Step 3: Cross multiply
    8,297.32x = 11,450.21 × 4,761.09
  4. Step 4: Simplify right side
    8,297.32x = 54,515,434.98
  5. Step 5: Solve for x
    x = 54,515,434.98/8,297.32
  6. Step 6: Final answer
    x = 6,570.25

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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.