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Finding the Fourth Proportional to 6,834.46, 10,238.84 and 3,903.88

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Solution

The fourth proportional to 6,834.46, 10,238.84 and 3,903.88 is: 5,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.46 : 10,238.84 = 3,903.88 : x
  2. Step 2: Convert to fraction form
    6,834.46/10,238.84 = 3,903.88/x
  3. Step 3: Cross multiply
    6,834.46x = 10,238.84 × 3,903.88
  4. Step 4: Simplify right side
    6,834.46x = 39,971,202.70
  5. Step 5: Solve for x
    x = 39,971,202.70/6,834.46
  6. Step 6: Final answer
    x = 5,848.48

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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.