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Finding the Fourth Proportional to 7,357.11, 11,029.46 and 3,193.97

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Solution

The fourth proportional to 7,357.11, 11,029.46 and 3,193.97 is: 4,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.11 : 11,029.46 = 3,193.97 : x
  2. Step 2: Convert to fraction form
    7,357.11/11,029.46 = 3,193.97/x
  3. Step 3: Cross multiply
    7,357.11x = 11,029.46 × 3,193.97
  4. Step 4: Simplify right side
    7,357.11x = 35,227,693.24
  5. Step 5: Solve for x
    x = 35,227,693.24/7,357.11
  6. Step 6: Final answer
    x = 4,788.25

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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.