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Finding the Fourth Proportional to 8,232.37, 12,349.85 and 2,684.43

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Solution

The fourth proportional to 8,232.37, 12,349.85 and 2,684.43 is: 4,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.37 : 12,349.85 = 2,684.43 : x
  2. Step 2: Convert to fraction form
    8,232.37/12,349.85 = 2,684.43/x
  3. Step 3: Cross multiply
    8,232.37x = 12,349.85 × 2,684.43
  4. Step 4: Simplify right side
    8,232.37x = 33,152,274.78
  5. Step 5: Solve for x
    x = 33,152,274.78/8,232.37
  6. Step 6: Final answer
    x = 4,027.06

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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.