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Finding the Fourth Proportional to 8,311.23, 12,470.90 and 3,384.27

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Solution

The fourth proportional to 8,311.23, 12,470.90 and 3,384.27 is: 5,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.23 : 12,470.90 = 3,384.27 : x
  2. Step 2: Convert to fraction form
    8,311.23/12,470.90 = 3,384.27/x
  3. Step 3: Cross multiply
    8,311.23x = 12,470.90 × 3,384.27
  4. Step 4: Simplify right side
    8,311.23x = 42,204,875.82
  5. Step 5: Solve for x
    x = 42,204,875.82/8,311.23
  6. Step 6: Final answer
    x = 5,078.05

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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.