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Finding the Fourth Proportional to 11,782.84, 17,676.84 and 3,885.04

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Solution

The fourth proportional to 11,782.84, 17,676.84 and 3,885.04 is: 5,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.84 : 17,676.84 = 3,885.04 : x
  2. Step 2: Convert to fraction form
    11,782.84/17,676.84 = 3,885.04/x
  3. Step 3: Cross multiply
    11,782.84x = 17,676.84 × 3,885.04
  4. Step 4: Simplify right side
    11,782.84x = 68,675,142.09
  5. Step 5: Solve for x
    x = 68,675,142.09/11,782.84
  6. Step 6: Final answer
    x = 5,828.41

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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.