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Finding the Fourth Proportional to 11,191.94, 16,791.56 and 5,349

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Solution

The fourth proportional to 11,191.94, 16,791.56 and 5,349 is: 8,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.94 : 16,791.56 = 5,349 : x
  2. Step 2: Convert to fraction form
    11,191.94/16,791.56 = 5,349/x
  3. Step 3: Cross multiply
    11,191.94x = 16,791.56 × 5,349
  4. Step 4: Simplify right side
    11,191.94x = 89,818,027.70
  5. Step 5: Solve for x
    x = 89,818,027.70/11,191.94
  6. Step 6: Final answer
    x = 8,025.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.