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Finding the Fourth Proportional to 6,876.92, 10,315.38 and 1,682.75

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Solution

The fourth proportional to 6,876.92, 10,315.38 and 1,682.75 is: 2,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.92 : 10,315.38 = 1,682.75 : x
  2. Step 2: Convert to fraction form
    6,876.92/10,315.38 = 1,682.75/x
  3. Step 3: Cross multiply
    6,876.92x = 10,315.38 × 1,682.75
  4. Step 4: Simplify right side
    6,876.92x = 17,358,205.70
  5. Step 5: Solve for x
    x = 17,358,205.70/6,876.92
  6. Step 6: Final answer
    x = 2,524.13

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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.