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Finding the Fourth Proportional to 8,155.44, 12,234.74 and 3,475.38

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Solution

The fourth proportional to 8,155.44, 12,234.74 and 3,475.38 is: 5,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.44 : 12,234.74 = 3,475.38 : x
  2. Step 2: Convert to fraction form
    8,155.44/12,234.74 = 3,475.38/x
  3. Step 3: Cross multiply
    8,155.44x = 12,234.74 × 3,475.38
  4. Step 4: Simplify right side
    8,155.44x = 42,520,370.70
  5. Step 5: Solve for x
    x = 42,520,370.70/8,155.44
  6. Step 6: Final answer
    x = 5,213.74

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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.