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Finding the Fourth Proportional to 11,294.37, 16,941.42 and 5,446.85

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Solution

The fourth proportional to 11,294.37, 16,941.42 and 5,446.85 is: 8,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.37 : 16,941.42 = 5,446.85 : x
  2. Step 2: Convert to fraction form
    11,294.37/16,941.42 = 5,446.85/x
  3. Step 3: Cross multiply
    11,294.37x = 16,941.42 × 5,446.85
  4. Step 4: Simplify right side
    11,294.37x = 92,277,288.82
  5. Step 5: Solve for x
    x = 92,277,288.82/11,294.37
  6. Step 6: Final answer
    x = 8,170.20

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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.