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Finding the Fourth Proportional to 8,228.69, 12,343.65 and 2,681.61

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Solution

The fourth proportional to 8,228.69, 12,343.65 and 2,681.61 is: 4,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.69 : 12,343.65 = 2,681.61 : x
  2. Step 2: Convert to fraction form
    8,228.69/12,343.65 = 2,681.61/x
  3. Step 3: Cross multiply
    8,228.69x = 12,343.65 × 2,681.61
  4. Step 4: Simplify right side
    8,228.69x = 33,100,855.28
  5. Step 5: Solve for x
    x = 33,100,855.28/8,228.69
  6. Step 6: Final answer
    x = 4,022.62

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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.