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Finding the Fourth Proportional to 8,535.46, 11,771.56 and 5,550.20

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Solution

The fourth proportional to 8,535.46, 11,771.56 and 5,550.20 is: 7,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.46 : 11,771.56 = 5,550.20 : x
  2. Step 2: Convert to fraction form
    8,535.46/11,771.56 = 5,550.20/x
  3. Step 3: Cross multiply
    8,535.46x = 11,771.56 × 5,550.20
  4. Step 4: Simplify right side
    8,535.46x = 65,334,512.31
  5. Step 5: Solve for x
    x = 65,334,512.31/8,535.46
  6. Step 6: Final answer
    x = 7,654.48

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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.