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Finding the Fourth Proportional to 8,164.71, 12,247.47 and 2,321.73

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Solution

The fourth proportional to 8,164.71, 12,247.47 and 2,321.73 is: 3,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.71 : 12,247.47 = 2,321.73 : x
  2. Step 2: Convert to fraction form
    8,164.71/12,247.47 = 2,321.73/x
  3. Step 3: Cross multiply
    8,164.71x = 12,247.47 × 2,321.73
  4. Step 4: Simplify right side
    8,164.71x = 28,435,318.52
  5. Step 5: Solve for x
    x = 28,435,318.52/8,164.71
  6. Step 6: Final answer
    x = 3,482.71

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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.