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Finding the Fourth Proportional to 12,164.04, 16,785.09 and 6,858.81

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Solution

The fourth proportional to 12,164.04, 16,785.09 and 6,858.81 is: 9,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.04 : 16,785.09 = 6,858.81 : x
  2. Step 2: Convert to fraction form
    12,164.04/16,785.09 = 6,858.81/x
  3. Step 3: Cross multiply
    12,164.04x = 16,785.09 × 6,858.81
  4. Step 4: Simplify right side
    12,164.04x = 115,125,743.14
  5. Step 5: Solve for x
    x = 115,125,743.14/12,164.04
  6. Step 6: Final answer
    x = 9,464.43

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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.