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Finding the Fourth Proportional to 8,232.48, 12,350.74 and 2,686.12

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Solution

The fourth proportional to 8,232.48, 12,350.74 and 2,686.12 is: 4,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.48 : 12,350.74 = 2,686.12 : x
  2. Step 2: Convert to fraction form
    8,232.48/12,350.74 = 2,686.12/x
  3. Step 3: Cross multiply
    8,232.48x = 12,350.74 × 2,686.12
  4. Step 4: Simplify right side
    8,232.48x = 33,175,569.73
  5. Step 5: Solve for x
    x = 33,175,569.73/8,232.48
  6. Step 6: Final answer
    x = 4,029.84

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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.