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Finding the Fourth Proportional to 8,296.45, 12,440.75 and 3,027.80

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Solution

The fourth proportional to 8,296.45, 12,440.75 and 3,027.80 is: 4,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.45 : 12,440.75 = 3,027.80 : x
  2. Step 2: Convert to fraction form
    8,296.45/12,440.75 = 3,027.80/x
  3. Step 3: Cross multiply
    8,296.45x = 12,440.75 × 3,027.80
  4. Step 4: Simplify right side
    8,296.45x = 37,668,118.19
  5. Step 5: Solve for x
    x = 37,668,118.19/8,296.45
  6. Step 6: Final answer
    x = 4,540.27

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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.