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Finding the Fourth Proportional to 8,327.06, 11,479.42 and 5,138.22

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Solution

The fourth proportional to 8,327.06, 11,479.42 and 5,138.22 is: 7,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.06 : 11,479.42 = 5,138.22 : x
  2. Step 2: Convert to fraction form
    8,327.06/11,479.42 = 5,138.22/x
  3. Step 3: Cross multiply
    8,327.06x = 11,479.42 × 5,138.22
  4. Step 4: Simplify right side
    8,327.06x = 58,983,785.43
  5. Step 5: Solve for x
    x = 58,983,785.43/8,327.06
  6. Step 6: Final answer
    x = 7,083.39

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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.