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Finding the Fourth Proportional to 8,232.34, 12,348.62 and 4,081.09

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Solution

The fourth proportional to 8,232.34, 12,348.62 and 4,081.09 is: 6,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.34 : 12,348.62 = 4,081.09 : x
  2. Step 2: Convert to fraction form
    8,232.34/12,348.62 = 4,081.09/x
  3. Step 3: Cross multiply
    8,232.34x = 12,348.62 × 4,081.09
  4. Step 4: Simplify right side
    8,232.34x = 50,395,829.60
  5. Step 5: Solve for x
    x = 50,395,829.60/8,232.34
  6. Step 6: Final answer
    x = 6,121.69

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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.