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Finding the Fourth Proportional to 12,169.44, 16,794 and 7,452

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Solution

The fourth proportional to 12,169.44, 16,794 and 7,452 is: 10,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.44 : 16,794 = 7,452 : x
  2. Step 2: Convert to fraction form
    12,169.44/16,794 = 7,452/x
  3. Step 3: Cross multiply
    12,169.44x = 16,794 × 7,452
  4. Step 4: Simplify right side
    12,169.44x = 125,148,888
  5. Step 5: Solve for x
    x = 125,148,888/12,169.44
  6. Step 6: Final answer
    x = 10,283.87

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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.