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Finding the Fourth Proportional to 8,262.67, 12,393.75 and 2,022.70

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Solution

The fourth proportional to 8,262.67, 12,393.75 and 2,022.70 is: 3,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.67 : 12,393.75 = 2,022.70 : x
  2. Step 2: Convert to fraction form
    8,262.67/12,393.75 = 2,022.70/x
  3. Step 3: Cross multiply
    8,262.67x = 12,393.75 × 2,022.70
  4. Step 4: Simplify right side
    8,262.67x = 25,068,838.13
  5. Step 5: Solve for x
    x = 25,068,838.13/8,262.67
  6. Step 6: Final answer
    x = 3,033.99

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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.