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Finding the Fourth Proportional to 8,043.96, 11,102.22 and 5,244.60

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Solution

The fourth proportional to 8,043.96, 11,102.22 and 5,244.60 is: 7,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.96 : 11,102.22 = 5,244.60 : x
  2. Step 2: Convert to fraction form
    8,043.96/11,102.22 = 5,244.60/x
  3. Step 3: Cross multiply
    8,043.96x = 11,102.22 × 5,244.60
  4. Step 4: Simplify right side
    8,043.96x = 58,226,703.01
  5. Step 5: Solve for x
    x = 58,226,703.01/8,043.96
  6. Step 6: Final answer
    x = 7,238.56

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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.