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Finding the Fourth Proportional to 7,851.09, 10,834.44 and 4,493.73

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Solution

The fourth proportional to 7,851.09, 10,834.44 and 4,493.73 is: 6,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.09 : 10,834.44 = 4,493.73 : x
  2. Step 2: Convert to fraction form
    7,851.09/10,834.44 = 4,493.73/x
  3. Step 3: Cross multiply
    7,851.09x = 10,834.44 × 4,493.73
  4. Step 4: Simplify right side
    7,851.09x = 48,687,048.06
  5. Step 5: Solve for x
    x = 48,687,048.06/7,851.09
  6. Step 6: Final answer
    x = 6,201.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.