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Finding the Fourth Proportional to 11,885.22, 17,819.52 and 5,218.50

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Solution

The fourth proportional to 11,885.22, 17,819.52 and 5,218.50 is: 7,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.22 : 17,819.52 = 5,218.50 : x
  2. Step 2: Convert to fraction form
    11,885.22/17,819.52 = 5,218.50/x
  3. Step 3: Cross multiply
    11,885.22x = 17,819.52 × 5,218.50
  4. Step 4: Simplify right side
    11,885.22x = 92,991,165.12
  5. Step 5: Solve for x
    x = 92,991,165.12/11,885.22
  6. Step 6: Final answer
    x = 7,824.10

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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.