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Finding the Fourth Proportional to 8,185.28, 12,279.81 and 2,562.63

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Solution

The fourth proportional to 8,185.28, 12,279.81 and 2,562.63 is: 3,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.28 : 12,279.81 = 2,562.63 : x
  2. Step 2: Convert to fraction form
    8,185.28/12,279.81 = 2,562.63/x
  3. Step 3: Cross multiply
    8,185.28x = 12,279.81 × 2,562.63
  4. Step 4: Simplify right side
    8,185.28x = 31,468,609.50
  5. Step 5: Solve for x
    x = 31,468,609.50/8,185.28
  6. Step 6: Final answer
    x = 3,844.54

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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.