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Finding the Fourth Proportional to 7,357.31, 11,029.73 and 3,194.17

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Solution

The fourth proportional to 7,357.31, 11,029.73 and 3,194.17 is: 4,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.31 : 11,029.73 = 3,194.17 : x
  2. Step 2: Convert to fraction form
    7,357.31/11,029.73 = 3,194.17/x
  3. Step 3: Cross multiply
    7,357.31x = 11,029.73 × 3,194.17
  4. Step 4: Simplify right side
    7,357.31x = 35,230,813.09
  5. Step 5: Solve for x
    x = 35,230,813.09/7,357.31
  6. Step 6: Final answer
    x = 4,788.55

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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.