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Finding the Fourth Proportional to 8,229.41, 12,345.39 and 2,681.46

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Solution

The fourth proportional to 8,229.41, 12,345.39 and 2,681.46 is: 4,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.41 : 12,345.39 = 2,681.46 : x
  2. Step 2: Convert to fraction form
    8,229.41/12,345.39 = 2,681.46/x
  3. Step 3: Cross multiply
    8,229.41x = 12,345.39 × 2,681.46
  4. Step 4: Simplify right side
    8,229.41x = 33,103,669.47
  5. Step 5: Solve for x
    x = 33,103,669.47/8,229.41
  6. Step 6: Final answer
    x = 4,022.61

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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.