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Finding the Fourth Proportional to 8,227.70, 11,347.05 and 5,832.94

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Solution

The fourth proportional to 8,227.70, 11,347.05 and 5,832.94 is: 8,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.70 : 11,347.05 = 5,832.94 : x
  2. Step 2: Convert to fraction form
    8,227.70/11,347.05 = 5,832.94/x
  3. Step 3: Cross multiply
    8,227.70x = 11,347.05 × 5,832.94
  4. Step 4: Simplify right side
    8,227.70x = 66,186,661.83
  5. Step 5: Solve for x
    x = 66,186,661.83/8,227.70
  6. Step 6: Final answer
    x = 8,044.37

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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.