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Finding the Fourth Proportional to 6,814.95, 10,221.13 and 2,134.25

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Solution

The fourth proportional to 6,814.95, 10,221.13 and 2,134.25 is: 3,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.95 : 10,221.13 = 2,134.25 : x
  2. Step 2: Convert to fraction form
    6,814.95/10,221.13 = 2,134.25/x
  3. Step 3: Cross multiply
    6,814.95x = 10,221.13 × 2,134.25
  4. Step 4: Simplify right side
    6,814.95x = 21,814,446.70
  5. Step 5: Solve for x
    x = 21,814,446.70/6,814.95
  6. Step 6: Final answer
    x = 3,200.97

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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.