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Finding the Fourth Proportional to 12,163.30, 16,785.32 and 6,858.08

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Solution

The fourth proportional to 12,163.30, 16,785.32 and 6,858.08 is: 9,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.30 : 16,785.32 = 6,858.08 : x
  2. Step 2: Convert to fraction form
    12,163.30/16,785.32 = 6,858.08/x
  3. Step 3: Cross multiply
    12,163.30x = 16,785.32 × 6,858.08
  4. Step 4: Simplify right side
    12,163.30x = 115,115,067.39
  5. Step 5: Solve for x
    x = 115,115,067.39/12,163.30
  6. Step 6: Final answer
    x = 9,464.13

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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.