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Finding the Fourth Proportional to 8,311.94, 12,470.25 and 3,385.11

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Solution

The fourth proportional to 8,311.94, 12,470.25 and 3,385.11 is: 5,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.94 : 12,470.25 = 3,385.11 : x
  2. Step 2: Convert to fraction form
    8,311.94/12,470.25 = 3,385.11/x
  3. Step 3: Cross multiply
    8,311.94x = 12,470.25 × 3,385.11
  4. Step 4: Simplify right side
    8,311.94x = 42,213,167.98
  5. Step 5: Solve for x
    x = 42,213,167.98/8,311.94
  6. Step 6: Final answer
    x = 5,078.62

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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.