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Finding the Fourth Proportional to 8,229.25, 11,356.50 and 5,875.39

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Solution

The fourth proportional to 8,229.25, 11,356.50 and 5,875.39 is: 8,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.25 : 11,356.50 = 5,875.39 : x
  2. Step 2: Convert to fraction form
    8,229.25/11,356.50 = 5,875.39/x
  3. Step 3: Cross multiply
    8,229.25x = 11,356.50 × 5,875.39
  4. Step 4: Simplify right side
    8,229.25x = 66,723,866.54
  5. Step 5: Solve for x
    x = 66,723,866.54/8,229.25
  6. Step 6: Final answer
    x = 8,108.13

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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.