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Finding the Fourth Proportional to 7,791.73, 11,687.59 and 1,948.34

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Solution

The fourth proportional to 7,791.73, 11,687.59 and 1,948.34 is: 2,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.73 : 11,687.59 = 1,948.34 : x
  2. Step 2: Convert to fraction form
    7,791.73/11,687.59 = 1,948.34/x
  3. Step 3: Cross multiply
    7,791.73x = 11,687.59 × 1,948.34
  4. Step 4: Simplify right side
    7,791.73x = 22,771,365.01
  5. Step 5: Solve for x
    x = 22,771,365.01/7,791.73
  6. Step 6: Final answer
    x = 2,922.51

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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.