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Finding the Fourth Proportional to 8,378.82, 12,563.34 and 3,442.86

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Solution

The fourth proportional to 8,378.82, 12,563.34 and 3,442.86 is: 5,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.82 : 12,563.34 = 3,442.86 : x
  2. Step 2: Convert to fraction form
    8,378.82/12,563.34 = 3,442.86/x
  3. Step 3: Cross multiply
    8,378.82x = 12,563.34 × 3,442.86
  4. Step 4: Simplify right side
    8,378.82x = 43,253,820.75
  5. Step 5: Solve for x
    x = 43,253,820.75/8,378.82
  6. Step 6: Final answer
    x = 5,162.28

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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.