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Finding the Fourth Proportional to 6,902.97, 10,348.03 and 2,519.43

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Solution

The fourth proportional to 6,902.97, 10,348.03 and 2,519.43 is: 3,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.97 : 10,348.03 = 2,519.43 : x
  2. Step 2: Convert to fraction form
    6,902.97/10,348.03 = 2,519.43/x
  3. Step 3: Cross multiply
    6,902.97x = 10,348.03 × 2,519.43
  4. Step 4: Simplify right side
    6,902.97x = 26,071,137.22
  5. Step 5: Solve for x
    x = 26,071,137.22/6,902.97
  6. Step 6: Final answer
    x = 3,776.80

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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.