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Finding the Fourth Proportional to 8,311.43, 12,456.74 and 4,152.60

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Solution

The fourth proportional to 8,311.43, 12,456.74 and 4,152.60 is: 6,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.43 : 12,456.74 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    8,311.43/12,456.74 = 4,152.60/x
  3. Step 3: Cross multiply
    8,311.43x = 12,456.74 × 4,152.60
  4. Step 4: Simplify right side
    8,311.43x = 51,727,868.91
  5. Step 5: Solve for x
    x = 51,727,868.91/8,311.43
  6. Step 6: Final answer
    x = 6,223.71

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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.