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Finding the Fourth Proportional to 8,268.56, 11,418 and 6,169.04

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Solution

The fourth proportional to 8,268.56, 11,418 and 6,169.04 is: 8,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.56 : 11,418 = 6,169.04 : x
  2. Step 2: Convert to fraction form
    8,268.56/11,418 = 6,169.04/x
  3. Step 3: Cross multiply
    8,268.56x = 11,418 × 6,169.04
  4. Step 4: Simplify right side
    8,268.56x = 70,438,098.72
  5. Step 5: Solve for x
    x = 70,438,098.72/8,268.56
  6. Step 6: Final answer
    x = 8,518.79

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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.