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Finding the Fourth Proportional to 6,578.10, 9,874.89 and 5,192.39

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Solution

The fourth proportional to 6,578.10, 9,874.89 and 5,192.39 is: 7,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.10 : 9,874.89 = 5,192.39 : x
  2. Step 2: Convert to fraction form
    6,578.10/9,874.89 = 5,192.39/x
  3. Step 3: Cross multiply
    6,578.10x = 9,874.89 × 5,192.39
  4. Step 4: Simplify right side
    6,578.10x = 51,274,230.71
  5. Step 5: Solve for x
    x = 51,274,230.71/6,578.10
  6. Step 6: Final answer
    x = 7,794.69

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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.