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Finding the Fourth Proportional to 8,201.11, 11,319.22 and 5,216.37

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Solution

The fourth proportional to 8,201.11, 11,319.22 and 5,216.37 is: 7,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.11 : 11,319.22 = 5,216.37 : x
  2. Step 2: Convert to fraction form
    8,201.11/11,319.22 = 5,216.37/x
  3. Step 3: Cross multiply
    8,201.11x = 11,319.22 × 5,216.37
  4. Step 4: Simplify right side
    8,201.11x = 59,045,239.63
  5. Step 5: Solve for x
    x = 59,045,239.63/8,201.11
  6. Step 6: Final answer
    x = 7,199.66

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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.