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Finding the Fourth Proportional to 11,872.72, 17,803.28 and 6,943.60

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Solution

The fourth proportional to 11,872.72, 17,803.28 and 6,943.60 is: 10,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.72 : 17,803.28 = 6,943.60 : x
  2. Step 2: Convert to fraction form
    11,872.72/17,803.28 = 6,943.60/x
  3. Step 3: Cross multiply
    11,872.72x = 17,803.28 × 6,943.60
  4. Step 4: Simplify right side
    11,872.72x = 123,618,855.01
  5. Step 5: Solve for x
    x = 123,618,855.01/11,872.72
  6. Step 6: Final answer
    x = 10,412.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.