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Finding the Fourth Proportional to 6,938.57, 10,409.22 and 2,008.26

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Solution

The fourth proportional to 6,938.57, 10,409.22 and 2,008.26 is: 3,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.57 : 10,409.22 = 2,008.26 : x
  2. Step 2: Convert to fraction form
    6,938.57/10,409.22 = 2,008.26/x
  3. Step 3: Cross multiply
    6,938.57x = 10,409.22 × 2,008.26
  4. Step 4: Simplify right side
    6,938.57x = 20,904,420.16
  5. Step 5: Solve for x
    x = 20,904,420.16/6,938.57
  6. Step 6: Final answer
    x = 3,012.79

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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.