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Finding the Fourth Proportional to 11,682.14, 16,121.23 and 7,204.10

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Solution

The fourth proportional to 11,682.14, 16,121.23 and 7,204.10 is: 9,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.14 : 16,121.23 = 7,204.10 : x
  2. Step 2: Convert to fraction form
    11,682.14/16,121.23 = 7,204.10/x
  3. Step 3: Cross multiply
    11,682.14x = 16,121.23 × 7,204.10
  4. Step 4: Simplify right side
    11,682.14x = 116,138,872.44
  5. Step 5: Solve for x
    x = 116,138,872.44/11,682.14
  6. Step 6: Final answer
    x = 9,941.58

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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.