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Finding the Fourth Proportional to 8,384.13, 12,578.82 and 3,456.09

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Solution

The fourth proportional to 8,384.13, 12,578.82 and 3,456.09 is: 5,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.13 : 12,578.82 = 3,456.09 : x
  2. Step 2: Convert to fraction form
    8,384.13/12,578.82 = 3,456.09/x
  3. Step 3: Cross multiply
    8,384.13x = 12,578.82 × 3,456.09
  4. Step 4: Simplify right side
    8,384.13x = 43,473,534.01
  5. Step 5: Solve for x
    x = 43,473,534.01/8,384.13
  6. Step 6: Final answer
    x = 5,185.22

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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.