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Finding the Fourth Proportional to 6,876.86, 10,315.26 and 1,682.73

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Solution

The fourth proportional to 6,876.86, 10,315.26 and 1,682.73 is: 2,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.86 : 10,315.26 = 1,682.73 : x
  2. Step 2: Convert to fraction form
    6,876.86/10,315.26 = 1,682.73/x
  3. Step 3: Cross multiply
    6,876.86x = 10,315.26 × 1,682.73
  4. Step 4: Simplify right side
    6,876.86x = 17,357,797.46
  5. Step 5: Solve for x
    x = 17,357,797.46/6,876.86
  6. Step 6: Final answer
    x = 2,524.09

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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.