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Finding the Fourth Proportional to 11,887.94, 17,834.63 and 6,338.36

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Solution

The fourth proportional to 11,887.94, 17,834.63 and 6,338.36 is: 9,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.94 : 17,834.63 = 6,338.36 : x
  2. Step 2: Convert to fraction form
    11,887.94/17,834.63 = 6,338.36/x
  3. Step 3: Cross multiply
    11,887.94x = 17,834.63 × 6,338.36
  4. Step 4: Simplify right side
    11,887.94x = 113,042,318.30
  5. Step 5: Solve for x
    x = 113,042,318.30/11,887.94
  6. Step 6: Final answer
    x = 9,508.99

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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.