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Finding the Fourth Proportional to 8,682.12, 11,979 and 5,144.04

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Solution

The fourth proportional to 8,682.12, 11,979 and 5,144.04 is: 7,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.12 : 11,979 = 5,144.04 : x
  2. Step 2: Convert to fraction form
    8,682.12/11,979 = 5,144.04/x
  3. Step 3: Cross multiply
    8,682.12x = 11,979 × 5,144.04
  4. Step 4: Simplify right side
    8,682.12x = 61,620,455.16
  5. Step 5: Solve for x
    x = 61,620,455.16/8,682.12
  6. Step 6: Final answer
    x = 7,097.40

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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.