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Finding the Fourth Proportional to 8,571.26, 11,828.25 and 4,794.38

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Solution

The fourth proportional to 8,571.26, 11,828.25 and 4,794.38 is: 6,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.26 : 11,828.25 = 4,794.38 : x
  2. Step 2: Convert to fraction form
    8,571.26/11,828.25 = 4,794.38/x
  3. Step 3: Cross multiply
    8,571.26x = 11,828.25 × 4,794.38
  4. Step 4: Simplify right side
    8,571.26x = 56,709,092.47
  5. Step 5: Solve for x
    x = 56,709,092.47/8,571.26
  6. Step 6: Final answer
    x = 6,616.19

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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.