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Finding the Fourth Proportional to 12,072.38, 16,659.03 and 6,695.09

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Solution

The fourth proportional to 12,072.38, 16,659.03 and 6,695.09 is: 9,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.38 : 16,659.03 = 6,695.09 : x
  2. Step 2: Convert to fraction form
    12,072.38/16,659.03 = 6,695.09/x
  3. Step 3: Cross multiply
    12,072.38x = 16,659.03 × 6,695.09
  4. Step 4: Simplify right side
    12,072.38x = 111,533,621.87
  5. Step 5: Solve for x
    x = 111,533,621.87/12,072.38
  6. Step 6: Final answer
    x = 9,238.75

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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.