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Finding the Fourth Proportional to 12,163.49, 16,785.38 and 6,858.31

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Solution

The fourth proportional to 12,163.49, 16,785.38 and 6,858.31 is: 9,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.49 : 16,785.38 = 6,858.31 : x
  2. Step 2: Convert to fraction form
    12,163.49/16,785.38 = 6,858.31/x
  3. Step 3: Cross multiply
    12,163.49x = 16,785.38 × 6,858.31
  4. Step 4: Simplify right side
    12,163.49x = 115,119,339.51
  5. Step 5: Solve for x
    x = 115,119,339.51/12,163.49
  6. Step 6: Final answer
    x = 9,464.33

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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.