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Finding the Fourth Proportional to 11,735.73, 17,591.75 and 7,356.27

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Solution

The fourth proportional to 11,735.73, 17,591.75 and 7,356.27 is: 11,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.73 : 17,591.75 = 7,356.27 : x
  2. Step 2: Convert to fraction form
    11,735.73/17,591.75 = 7,356.27/x
  3. Step 3: Cross multiply
    11,735.73x = 17,591.75 × 7,356.27
  4. Step 4: Simplify right side
    11,735.73x = 129,409,662.77
  5. Step 5: Solve for x
    x = 129,409,662.77/11,735.73
  6. Step 6: Final answer
    x = 11,026.98

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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.