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Finding the Fourth Proportional to 27,511.75, 41,268.44 and 6,735.25

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Solution

The fourth proportional to 27,511.75, 41,268.44 and 6,735.25 is: 10,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.75 : 41,268.44 = 6,735.25 : x
  2. Step 2: Convert to fraction form
    27,511.75/41,268.44 = 6,735.25/x
  3. Step 3: Cross multiply
    27,511.75x = 41,268.44 × 6,735.25
  4. Step 4: Simplify right side
    27,511.75x = 277,953,260.51
  5. Step 5: Solve for x
    x = 277,953,260.51/27,511.75
  6. Step 6: Final answer
    x = 10,103.07

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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.