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Finding the Fourth Proportional to 8,143.50, 12,194.58 and 6,823.78

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Solution

The fourth proportional to 8,143.50, 12,194.58 and 6,823.78 is: 10,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.50 : 12,194.58 = 6,823.78 : x
  2. Step 2: Convert to fraction form
    8,143.50/12,194.58 = 6,823.78/x
  3. Step 3: Cross multiply
    8,143.50x = 12,194.58 × 6,823.78
  4. Step 4: Simplify right side
    8,143.50x = 83,213,120.09
  5. Step 5: Solve for x
    x = 83,213,120.09/8,143.50
  6. Step 6: Final answer
    x = 10,218.35

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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.