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Finding the Fourth Proportional to 7,357.36, 11,029.82 and 3,194.22

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Solution

The fourth proportional to 7,357.36, 11,029.82 and 3,194.22 is: 4,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.36 : 11,029.82 = 3,194.22 : x
  2. Step 2: Convert to fraction form
    7,357.36/11,029.82 = 3,194.22/x
  3. Step 3: Cross multiply
    7,357.36x = 11,029.82 × 3,194.22
  4. Step 4: Simplify right side
    7,357.36x = 35,231,671.64
  5. Step 5: Solve for x
    x = 35,231,671.64/7,357.36
  6. Step 6: Final answer
    x = 4,788.63

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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.