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Finding the Fourth Proportional to 11,872.84, 17,796.70 and 4,474.09

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Solution

The fourth proportional to 11,872.84, 17,796.70 and 4,474.09 is: 6,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.84 : 17,796.70 = 4,474.09 : x
  2. Step 2: Convert to fraction form
    11,872.84/17,796.70 = 4,474.09/x
  3. Step 3: Cross multiply
    11,872.84x = 17,796.70 × 4,474.09
  4. Step 4: Simplify right side
    11,872.84x = 79,624,037.50
  5. Step 5: Solve for x
    x = 79,624,037.50/11,872.84
  6. Step 6: Final answer
    x = 6,706.40

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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.