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Finding the Fourth Proportional to 12,164.25, 16,785.23 and 6,858.75

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Solution

The fourth proportional to 12,164.25, 16,785.23 and 6,858.75 is: 9,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.25 : 16,785.23 = 6,858.75 : x
  2. Step 2: Convert to fraction form
    12,164.25/16,785.23 = 6,858.75/x
  3. Step 3: Cross multiply
    12,164.25x = 16,785.23 × 6,858.75
  4. Step 4: Simplify right side
    12,164.25x = 115,125,696.26
  5. Step 5: Solve for x
    x = 115,125,696.26/12,164.25
  6. Step 6: Final answer
    x = 9,464.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.