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Finding the Fourth Proportional to 12,082, 16,673.19 and 7,049.68

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Solution

The fourth proportional to 12,082, 16,673.19 and 7,049.68 is: 9,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 16,673.19 = 7,049.68 : x
  2. Step 2: Convert to fraction form
    12,082/16,673.19 = 7,049.68/x
  3. Step 3: Cross multiply
    12,082x = 16,673.19 × 7,049.68
  4. Step 4: Simplify right side
    12,082x = 117,540,654.08
  5. Step 5: Solve for x
    x = 117,540,654.08/12,082
  6. Step 6: Final answer
    x = 9,728.58

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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.