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Finding the Fourth Proportional to 27,863.60, 41,797.22 and 8,140.50

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Solution

The fourth proportional to 27,863.60, 41,797.22 and 8,140.50 is: 12,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.60 : 41,797.22 = 8,140.50 : x
  2. Step 2: Convert to fraction form
    27,863.60/41,797.22 = 8,140.50/x
  3. Step 3: Cross multiply
    27,863.60x = 41,797.22 × 8,140.50
  4. Step 4: Simplify right side
    27,863.60x = 340,250,228.71
  5. Step 5: Solve for x
    x = 340,250,228.71/27,863.60
  6. Step 6: Final answer
    x = 12,211.28

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Why These Related Problems?

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