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Finding the Fourth Proportional to 11,872.52, 16,376.94 and 7,839.38

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Solution

The fourth proportional to 11,872.52, 16,376.94 and 7,839.38 is: 10,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.52 : 16,376.94 = 7,839.38 : x
  2. Step 2: Convert to fraction form
    11,872.52/16,376.94 = 7,839.38/x
  3. Step 3: Cross multiply
    11,872.52x = 16,376.94 × 7,839.38
  4. Step 4: Simplify right side
    11,872.52x = 128,385,097.71
  5. Step 5: Solve for x
    x = 128,385,097.71/11,872.52
  6. Step 6: Final answer
    x = 10,813.63

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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.