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Finding the Fourth Proportional to 6,876.39, 10,314.63 and 1,682.27

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Solution

The fourth proportional to 6,876.39, 10,314.63 and 1,682.27 is: 2,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.39 : 10,314.63 = 1,682.27 : x
  2. Step 2: Convert to fraction form
    6,876.39/10,314.63 = 1,682.27/x
  3. Step 3: Cross multiply
    6,876.39x = 10,314.63 × 1,682.27
  4. Step 4: Simplify right side
    6,876.39x = 17,351,941.04
  5. Step 5: Solve for x
    x = 17,351,941.04/6,876.39
  6. Step 6: Final answer
    x = 2,523.41

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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.