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Finding the Fourth Proportional to 11,672.16, 16,109.70 and 6,891.84

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Solution

The fourth proportional to 11,672.16, 16,109.70 and 6,891.84 is: 9,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.16 : 16,109.70 = 6,891.84 : x
  2. Step 2: Convert to fraction form
    11,672.16/16,109.70 = 6,891.84/x
  3. Step 3: Cross multiply
    11,672.16x = 16,109.70 × 6,891.84
  4. Step 4: Simplify right side
    11,672.16x = 111,025,474.85
  5. Step 5: Solve for x
    x = 111,025,474.85/11,672.16
  6. Step 6: Final answer
    x = 9,511.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.