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Finding the Fourth Proportional to 6,805.44, 10,208.81 and 2,645.77

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Solution

The fourth proportional to 6,805.44, 10,208.81 and 2,645.77 is: 3,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.44 : 10,208.81 = 2,645.77 : x
  2. Step 2: Convert to fraction form
    6,805.44/10,208.81 = 2,645.77/x
  3. Step 3: Cross multiply
    6,805.44x = 10,208.81 × 2,645.77
  4. Step 4: Simplify right side
    6,805.44x = 27,010,150.00
  5. Step 5: Solve for x
    x = 27,010,150.00/6,805.44
  6. Step 6: Final answer
    x = 3,968.91

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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.