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Finding the Fourth Proportional to 6,805.44, 10,212.57 and 2,422.95

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Solution

The fourth proportional to 6,805.44, 10,212.57 and 2,422.95 is: 3,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.44 : 10,212.57 = 2,422.95 : x
  2. Step 2: Convert to fraction form
    6,805.44/10,212.57 = 2,422.95/x
  3. Step 3: Cross multiply
    6,805.44x = 10,212.57 × 2,422.95
  4. Step 4: Simplify right side
    6,805.44x = 24,744,546.48
  5. Step 5: Solve for x
    x = 24,744,546.48/6,805.44
  6. Step 6: Final answer
    x = 3,636.00

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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.