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Finding the Fourth Proportional to 11,338.10, 17,022.57 and 7,819.41

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Solution

The fourth proportional to 11,338.10, 17,022.57 and 7,819.41 is: 11,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.10 : 17,022.57 = 7,819.41 : x
  2. Step 2: Convert to fraction form
    11,338.10/17,022.57 = 7,819.41/x
  3. Step 3: Cross multiply
    11,338.10x = 17,022.57 × 7,819.41
  4. Step 4: Simplify right side
    11,338.10x = 133,106,454.08
  5. Step 5: Solve for x
    x = 133,106,454.08/11,338.10
  6. Step 6: Final answer
    x = 11,739.75

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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.