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Finding the Fourth Proportional to 11,616.84, 16,033.74 and 7,144.38

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Solution

The fourth proportional to 11,616.84, 16,033.74 and 7,144.38 is: 9,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.84 : 16,033.74 = 7,144.38 : x
  2. Step 2: Convert to fraction form
    11,616.84/16,033.74 = 7,144.38/x
  3. Step 3: Cross multiply
    11,616.84x = 16,033.74 × 7,144.38
  4. Step 4: Simplify right side
    11,616.84x = 114,551,131.38
  5. Step 5: Solve for x
    x = 114,551,131.38/11,616.84
  6. Step 6: Final answer
    x = 9,860.78

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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.