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Finding the Fourth Proportional to 6,814.70, 10,222.05 and 2,135.10

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Solution

The fourth proportional to 6,814.70, 10,222.05 and 2,135.10 is: 3,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.70 : 10,222.05 = 2,135.10 : x
  2. Step 2: Convert to fraction form
    6,814.70/10,222.05 = 2,135.10/x
  3. Step 3: Cross multiply
    6,814.70x = 10,222.05 × 2,135.10
  4. Step 4: Simplify right side
    6,814.70x = 21,825,098.96
  5. Step 5: Solve for x
    x = 21,825,098.96/6,814.70
  6. Step 6: Final answer
    x = 3,202.65

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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.