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Finding the Fourth Proportional to 8,287.70, 12,431.59 and 3,357.44

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Solution

The fourth proportional to 8,287.70, 12,431.59 and 3,357.44 is: 5,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.70 : 12,431.59 = 3,357.44 : x
  2. Step 2: Convert to fraction form
    8,287.70/12,431.59 = 3,357.44/x
  3. Step 3: Cross multiply
    8,287.70x = 12,431.59 × 3,357.44
  4. Step 4: Simplify right side
    8,287.70x = 41,738,246.98
  5. Step 5: Solve for x
    x = 41,738,246.98/8,287.70
  6. Step 6: Final answer
    x = 5,036.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.