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Finding the Fourth Proportional to 11,819.14, 17,722.43 and 3,498.01

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Solution

The fourth proportional to 11,819.14, 17,722.43 and 3,498.01 is: 5,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.14 : 17,722.43 = 3,498.01 : x
  2. Step 2: Convert to fraction form
    11,819.14/17,722.43 = 3,498.01/x
  3. Step 3: Cross multiply
    11,819.14x = 17,722.43 × 3,498.01
  4. Step 4: Simplify right side
    11,819.14x = 61,993,237.36
  5. Step 5: Solve for x
    x = 61,993,237.36/11,819.14
  6. Step 6: Final answer
    x = 5,245.16

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