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Finding the Fourth Proportional to 8,311.37, 12,456.65 and 4,152.54

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Solution

The fourth proportional to 8,311.37, 12,456.65 and 4,152.54 is: 6,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.37 : 12,456.65 = 4,152.54 : x
  2. Step 2: Convert to fraction form
    8,311.37/12,456.65 = 4,152.54/x
  3. Step 3: Cross multiply
    8,311.37x = 12,456.65 × 4,152.54
  4. Step 4: Simplify right side
    8,311.37x = 51,726,737.39
  5. Step 5: Solve for x
    x = 51,726,737.39/8,311.37
  6. Step 6: Final answer
    x = 6,223.62

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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.