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Finding the Fourth Proportional to 6,706.97, 10,057.22 and 2,810.33

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Solution

The fourth proportional to 6,706.97, 10,057.22 and 2,810.33 is: 4,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.97 : 10,057.22 = 2,810.33 : x
  2. Step 2: Convert to fraction form
    6,706.97/10,057.22 = 2,810.33/x
  3. Step 3: Cross multiply
    6,706.97x = 10,057.22 × 2,810.33
  4. Step 4: Simplify right side
    6,706.97x = 28,264,093.03
  5. Step 5: Solve for x
    x = 28,264,093.03/6,706.97
  6. Step 6: Final answer
    x = 4,214.14

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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.