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Finding the Fourth Proportional to 8,333.91, 11,491.34 and 6,234.39

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Solution

The fourth proportional to 8,333.91, 11,491.34 and 6,234.39 is: 8,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.91 : 11,491.34 = 6,234.39 : x
  2. Step 2: Convert to fraction form
    8,333.91/11,491.34 = 6,234.39/x
  3. Step 3: Cross multiply
    8,333.91x = 11,491.34 × 6,234.39
  4. Step 4: Simplify right side
    8,333.91x = 71,641,464.01
  5. Step 5: Solve for x
    x = 71,641,464.01/8,333.91
  6. Step 6: Final answer
    x = 8,596.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.