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Finding the Fourth Proportional to 6,763.10, 10,145.46 and 2,867

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Solution

The fourth proportional to 6,763.10, 10,145.46 and 2,867 is: 4,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.10 : 10,145.46 = 2,867 : x
  2. Step 2: Convert to fraction form
    6,763.10/10,145.46 = 2,867/x
  3. Step 3: Cross multiply
    6,763.10x = 10,145.46 × 2,867
  4. Step 4: Simplify right side
    6,763.10x = 29,087,033.82
  5. Step 5: Solve for x
    x = 29,087,033.82/6,763.10
  6. Step 6: Final answer
    x = 4,300.84

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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.