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Finding the Fourth Proportional to 6,805.49, 10,201.76 and 2,185.25

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Solution

The fourth proportional to 6,805.49, 10,201.76 and 2,185.25 is: 3,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.49 : 10,201.76 = 2,185.25 : x
  2. Step 2: Convert to fraction form
    6,805.49/10,201.76 = 2,185.25/x
  3. Step 3: Cross multiply
    6,805.49x = 10,201.76 × 2,185.25
  4. Step 4: Simplify right side
    6,805.49x = 22,293,385.11
  5. Step 5: Solve for x
    x = 22,293,385.11/6,805.49
  6. Step 6: Final answer
    x = 3,275.79

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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.