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Finding the Fourth Proportional to 8,083.46, 11,152 and 5,964.09

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Solution

The fourth proportional to 8,083.46, 11,152 and 5,964.09 is: 8,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.46 : 11,152 = 5,964.09 : x
  2. Step 2: Convert to fraction form
    8,083.46/11,152 = 5,964.09/x
  3. Step 3: Cross multiply
    8,083.46x = 11,152 × 5,964.09
  4. Step 4: Simplify right side
    8,083.46x = 66,511,531.68
  5. Step 5: Solve for x
    x = 66,511,531.68/8,083.46
  6. Step 6: Final answer
    x = 8,228.10

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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.