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Finding the Fourth Proportional to 8,227.52, 11,353.21 and 5,039.36

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Solution

The fourth proportional to 8,227.52, 11,353.21 and 5,039.36 is: 6,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.52 : 11,353.21 = 5,039.36 : x
  2. Step 2: Convert to fraction form
    8,227.52/11,353.21 = 5,039.36/x
  3. Step 3: Cross multiply
    8,227.52x = 11,353.21 × 5,039.36
  4. Step 4: Simplify right side
    8,227.52x = 57,212,830.38
  5. Step 5: Solve for x
    x = 57,212,830.38/8,227.52
  6. Step 6: Final answer
    x = 6,953.84

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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.