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Finding the Fourth Proportional to 7,357.27, 11,029.69 and 3,194.14

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Solution

The fourth proportional to 7,357.27, 11,029.69 and 3,194.14 is: 4,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.27 : 11,029.69 = 3,194.14 : x
  2. Step 2: Convert to fraction form
    7,357.27/11,029.69 = 3,194.14/x
  3. Step 3: Cross multiply
    7,357.27x = 11,029.69 × 3,194.14
  4. Step 4: Simplify right side
    7,357.27x = 35,230,374.02
  5. Step 5: Solve for x
    x = 35,230,374.02/7,357.27
  6. Step 6: Final answer
    x = 4,788.51

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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.