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Finding the Fourth Proportional to 6,814.20, 10,220.04 and 1,882.62

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Solution

The fourth proportional to 6,814.20, 10,220.04 and 1,882.62 is: 2,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.20 : 10,220.04 = 1,882.62 : x
  2. Step 2: Convert to fraction form
    6,814.20/10,220.04 = 1,882.62/x
  3. Step 3: Cross multiply
    6,814.20x = 10,220.04 × 1,882.62
  4. Step 4: Simplify right side
    6,814.20x = 19,240,451.70
  5. Step 5: Solve for x
    x = 19,240,451.70/6,814.20
  6. Step 6: Final answer
    x = 2,823.58

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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.