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Finding the Fourth Proportional to 6,817.09, 10,224.12 and 2,657.21

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Solution

The fourth proportional to 6,817.09, 10,224.12 and 2,657.21 is: 3,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.09 : 10,224.12 = 2,657.21 : x
  2. Step 2: Convert to fraction form
    6,817.09/10,224.12 = 2,657.21/x
  3. Step 3: Cross multiply
    6,817.09x = 10,224.12 × 2,657.21
  4. Step 4: Simplify right side
    6,817.09x = 27,167,620.62
  5. Step 5: Solve for x
    x = 27,167,620.62/6,817.09
  6. Step 6: Final answer
    x = 3,985.22

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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.