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Finding the Fourth Proportional to 10,774.65, 16,163.79 and 5,511.94

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Solution

The fourth proportional to 10,774.65, 16,163.79 and 5,511.94 is: 8,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.65 : 16,163.79 = 5,511.94 : x
  2. Step 2: Convert to fraction form
    10,774.65/16,163.79 = 5,511.94/x
  3. Step 3: Cross multiply
    10,774.65x = 16,163.79 × 5,511.94
  4. Step 4: Simplify right side
    10,774.65x = 89,093,840.65
  5. Step 5: Solve for x
    x = 89,093,840.65/10,774.65
  6. Step 6: Final answer
    x = 8,268.84

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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.