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Finding the Fourth Proportional to 6,943.26, 10,414.88 and 2,012.90

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Solution

The fourth proportional to 6,943.26, 10,414.88 and 2,012.90 is: 3,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.26 : 10,414.88 = 2,012.90 : x
  2. Step 2: Convert to fraction form
    6,943.26/10,414.88 = 2,012.90/x
  3. Step 3: Cross multiply
    6,943.26x = 10,414.88 × 2,012.90
  4. Step 4: Simplify right side
    6,943.26x = 20,964,111.95
  5. Step 5: Solve for x
    x = 20,964,111.95/6,943.26
  6. Step 6: Final answer
    x = 3,019.35

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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.