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Finding the Fourth Proportional to 8,578.19, 12,857.72 and 3,891.17

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Solution

The fourth proportional to 8,578.19, 12,857.72 and 3,891.17 is: 5,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.19 : 12,857.72 = 3,891.17 : x
  2. Step 2: Convert to fraction form
    8,578.19/12,857.72 = 3,891.17/x
  3. Step 3: Cross multiply
    8,578.19x = 12,857.72 × 3,891.17
  4. Step 4: Simplify right side
    8,578.19x = 50,031,490.59
  5. Step 5: Solve for x
    x = 50,031,490.59/8,578.19
  6. Step 6: Final answer
    x = 5,832.41

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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.