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Finding the Fourth Proportional to 11,850.72, 16,356.72 and 7,872

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Solution

The fourth proportional to 11,850.72, 16,356.72 and 7,872 is: 10,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.72 : 16,356.72 = 7,872 : x
  2. Step 2: Convert to fraction form
    11,850.72/16,356.72 = 7,872/x
  3. Step 3: Cross multiply
    11,850.72x = 16,356.72 × 7,872
  4. Step 4: Simplify right side
    11,850.72x = 128,760,099.84
  5. Step 5: Solve for x
    x = 128,760,099.84/11,850.72
  6. Step 6: Final answer
    x = 10,865.17

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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.