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Finding the Fourth Proportional to 11,228.31, 16,846.11 and 5,385.38

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Solution

The fourth proportional to 11,228.31, 16,846.11 and 5,385.38 is: 8,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.31 : 16,846.11 = 5,385.38 : x
  2. Step 2: Convert to fraction form
    11,228.31/16,846.11 = 5,385.38/x
  3. Step 3: Cross multiply
    11,228.31x = 16,846.11 × 5,385.38
  4. Step 4: Simplify right side
    11,228.31x = 90,722,619.64
  5. Step 5: Solve for x
    x = 90,722,619.64/11,228.31
  6. Step 6: Final answer
    x = 8,079.81

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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.