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Finding the Fourth Proportional to 8,268, 11,409.84 and 4,542

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Solution

The fourth proportional to 8,268, 11,409.84 and 4,542 is: 6,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268 : 11,409.84 = 4,542 : x
  2. Step 2: Convert to fraction form
    8,268/11,409.84 = 4,542/x
  3. Step 3: Cross multiply
    8,268x = 11,409.84 × 4,542
  4. Step 4: Simplify right side
    8,268x = 51,823,493.28
  5. Step 5: Solve for x
    x = 51,823,493.28/8,268
  6. Step 6: Final answer
    x = 6,267.96

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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.