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Finding the Fourth Proportional to 7,965.73, 11,948.61 and 2,122.33

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Solution

The fourth proportional to 7,965.73, 11,948.61 and 2,122.33 is: 3,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.73 : 11,948.61 = 2,122.33 : x
  2. Step 2: Convert to fraction form
    7,965.73/11,948.61 = 2,122.33/x
  3. Step 3: Cross multiply
    7,965.73x = 11,948.61 × 2,122.33
  4. Step 4: Simplify right side
    7,965.73x = 25,358,893.46
  5. Step 5: Solve for x
    x = 25,358,893.46/7,965.73
  6. Step 6: Final answer
    x = 3,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.