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Finding the Fourth Proportional to 6,820.45, 10,221.15 and 3,693.70

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Solution

The fourth proportional to 6,820.45, 10,221.15 and 3,693.70 is: 5,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.45 : 10,221.15 = 3,693.70 : x
  2. Step 2: Convert to fraction form
    6,820.45/10,221.15 = 3,693.70/x
  3. Step 3: Cross multiply
    6,820.45x = 10,221.15 × 3,693.70
  4. Step 4: Simplify right side
    6,820.45x = 37,753,861.76
  5. Step 5: Solve for x
    x = 37,753,861.76/6,820.45
  6. Step 6: Final answer
    x = 5,535.39

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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.