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Finding the Fourth Proportional to 10,876.26, 16,313.83 and 6,375.82

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Solution

The fourth proportional to 10,876.26, 16,313.83 and 6,375.82 is: 9,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.26 : 16,313.83 = 6,375.82 : x
  2. Step 2: Convert to fraction form
    10,876.26/16,313.83 = 6,375.82/x
  3. Step 3: Cross multiply
    10,876.26x = 16,313.83 × 6,375.82
  4. Step 4: Simplify right side
    10,876.26x = 104,013,962.02
  5. Step 5: Solve for x
    x = 104,013,962.02/10,876.26
  6. Step 6: Final answer
    x = 9,563.39

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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.