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Finding the Fourth Proportional to 10,942.65, 16,410.74 and 5,745.69

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Solution

The fourth proportional to 10,942.65, 16,410.74 and 5,745.69 is: 8,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.65 : 16,410.74 = 5,745.69 : x
  2. Step 2: Convert to fraction form
    10,942.65/16,410.74 = 5,745.69/x
  3. Step 3: Cross multiply
    10,942.65x = 16,410.74 × 5,745.69
  4. Step 4: Simplify right side
    10,942.65x = 94,290,995.98
  5. Step 5: Solve for x
    x = 94,290,995.98/10,942.65
  6. Step 6: Final answer
    x = 8,616.83

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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.