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Finding the Fourth Proportional to 10,091.73, 13,920.90 and 6,057.48

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Solution

The fourth proportional to 10,091.73, 13,920.90 and 6,057.48 is: 8,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.73 : 13,920.90 = 6,057.48 : x
  2. Step 2: Convert to fraction form
    10,091.73/13,920.90 = 6,057.48/x
  3. Step 3: Cross multiply
    10,091.73x = 13,920.90 × 6,057.48
  4. Step 4: Simplify right side
    10,091.73x = 84,325,573.33
  5. Step 5: Solve for x
    x = 84,325,573.33/10,091.73
  6. Step 6: Final answer
    x = 8,355.91

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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.