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Finding the Fourth Proportional to 8,311.68, 12,469.88 and 3,384.86

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Solution

The fourth proportional to 8,311.68, 12,469.88 and 3,384.86 is: 5,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.68 : 12,469.88 = 3,384.86 : x
  2. Step 2: Convert to fraction form
    8,311.68/12,469.88 = 3,384.86/x
  3. Step 3: Cross multiply
    8,311.68x = 12,469.88 × 3,384.86
  4. Step 4: Simplify right side
    8,311.68x = 42,208,718.74
  5. Step 5: Solve for x
    x = 42,208,718.74/8,311.68
  6. Step 6: Final answer
    x = 5,078.24

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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.