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Finding the Fourth Proportional to 11,228.56, 16,838.64 and 4,472.14

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Solution

The fourth proportional to 11,228.56, 16,838.64 and 4,472.14 is: 6,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.56 : 16,838.64 = 4,472.14 : x
  2. Step 2: Convert to fraction form
    11,228.56/16,838.64 = 4,472.14/x
  3. Step 3: Cross multiply
    11,228.56x = 16,838.64 × 4,472.14
  4. Step 4: Simplify right side
    11,228.56x = 75,304,755.49
  5. Step 5: Solve for x
    x = 75,304,755.49/11,228.56
  6. Step 6: Final answer
    x = 6,706.54

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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.