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Finding the Fourth Proportional to 8,191.22, 12,276.54 and 4,442.86

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Solution

The fourth proportional to 8,191.22, 12,276.54 and 4,442.86 is: 6,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.22 : 12,276.54 = 4,442.86 : x
  2. Step 2: Convert to fraction form
    8,191.22/12,276.54 = 4,442.86/x
  3. Step 3: Cross multiply
    8,191.22x = 12,276.54 × 4,442.86
  4. Step 4: Simplify right side
    8,191.22x = 54,542,948.50
  5. Step 5: Solve for x
    x = 54,542,948.50/8,191.22
  6. Step 6: Final answer
    x = 6,658.71

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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.