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Finding the Fourth Proportional to 7,975.33, 11,959.04 and 3,293.66

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Solution

The fourth proportional to 7,975.33, 11,959.04 and 3,293.66 is: 4,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.33 : 11,959.04 = 3,293.66 : x
  2. Step 2: Convert to fraction form
    7,975.33/11,959.04 = 3,293.66/x
  3. Step 3: Cross multiply
    7,975.33x = 11,959.04 × 3,293.66
  4. Step 4: Simplify right side
    7,975.33x = 39,389,049.82
  5. Step 5: Solve for x
    x = 39,389,049.82/7,975.33
  6. Step 6: Final answer
    x = 4,938.86

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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.