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Finding the Fourth Proportional to 8,152.43, 12,234.12 and 2,887.42

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Solution

The fourth proportional to 8,152.43, 12,234.12 and 2,887.42 is: 4,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.43 : 12,234.12 = 2,887.42 : x
  2. Step 2: Convert to fraction form
    8,152.43/12,234.12 = 2,887.42/x
  3. Step 3: Cross multiply
    8,152.43x = 12,234.12 × 2,887.42
  4. Step 4: Simplify right side
    8,152.43x = 35,325,040.54
  5. Step 5: Solve for x
    x = 35,325,040.54/8,152.43
  6. Step 6: Final answer
    x = 4,333.07

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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.