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Finding the Fourth Proportional to 8,257.84, 11,395.85 and 4,481.01

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Solution

The fourth proportional to 8,257.84, 11,395.85 and 4,481.01 is: 6,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.84 : 11,395.85 = 4,481.01 : x
  2. Step 2: Convert to fraction form
    8,257.84/11,395.85 = 4,481.01/x
  3. Step 3: Cross multiply
    8,257.84x = 11,395.85 × 4,481.01
  4. Step 4: Simplify right side
    8,257.84x = 51,064,917.81
  5. Step 5: Solve for x
    x = 51,064,917.81/8,257.84
  6. Step 6: Final answer
    x = 6,183.81

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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.