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Finding the Fourth Proportional to 7,954.52, 11,930.46 and 2,111.24

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Solution

The fourth proportional to 7,954.52, 11,930.46 and 2,111.24 is: 3,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.52 : 11,930.46 = 2,111.24 : x
  2. Step 2: Convert to fraction form
    7,954.52/11,930.46 = 2,111.24/x
  3. Step 3: Cross multiply
    7,954.52x = 11,930.46 × 2,111.24
  4. Step 4: Simplify right side
    7,954.52x = 25,188,064.37
  5. Step 5: Solve for x
    x = 25,188,064.37/7,954.52
  6. Step 6: Final answer
    x = 3,166.51

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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.