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Finding the Fourth Proportional to 6,761.80, 10,144.14 and 2,868.04

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Solution

The fourth proportional to 6,761.80, 10,144.14 and 2,868.04 is: 4,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.80 : 10,144.14 = 2,868.04 : x
  2. Step 2: Convert to fraction form
    6,761.80/10,144.14 = 2,868.04/x
  3. Step 3: Cross multiply
    6,761.80x = 10,144.14 × 2,868.04
  4. Step 4: Simplify right side
    6,761.80x = 29,093,799.29
  5. Step 5: Solve for x
    x = 29,093,799.29/6,761.80
  6. Step 6: Final answer
    x = 4,302.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.