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Finding the Fourth Proportional to 7,953.48, 11,906.46 and 4,824

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Solution

The fourth proportional to 7,953.48, 11,906.46 and 4,824 is: 7,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.48 : 11,906.46 = 4,824 : x
  2. Step 2: Convert to fraction form
    7,953.48/11,906.46 = 4,824/x
  3. Step 3: Cross multiply
    7,953.48x = 11,906.46 × 4,824
  4. Step 4: Simplify right side
    7,953.48x = 57,436,763.04
  5. Step 5: Solve for x
    x = 57,436,763.04/7,953.48
  6. Step 6: Final answer
    x = 7,221.59

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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.