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Finding the Fourth Proportional to 8,230.28, 12,342.86 and 2,757

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Solution

The fourth proportional to 8,230.28, 12,342.86 and 2,757 is: 4,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.28 : 12,342.86 = 2,757 : x
  2. Step 2: Convert to fraction form
    8,230.28/12,342.86 = 2,757/x
  3. Step 3: Cross multiply
    8,230.28x = 12,342.86 × 2,757
  4. Step 4: Simplify right side
    8,230.28x = 34,029,265.02
  5. Step 5: Solve for x
    x = 34,029,265.02/8,230.28
  6. Step 6: Final answer
    x = 4,134.64

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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.