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Finding the Fourth Proportional to 8,257.31, 11,394.99 and 4,480.49

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Solution

The fourth proportional to 8,257.31, 11,394.99 and 4,480.49 is: 6,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.31 : 11,394.99 = 4,480.49 : x
  2. Step 2: Convert to fraction form
    8,257.31/11,394.99 = 4,480.49/x
  3. Step 3: Cross multiply
    8,257.31x = 11,394.99 × 4,480.49
  4. Step 4: Simplify right side
    8,257.31x = 51,055,081.77
  5. Step 5: Solve for x
    x = 51,055,081.77/8,257.31
  6. Step 6: Final answer
    x = 6,183.02

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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.