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Finding the Fourth Proportional to 6,819.87, 10,210.23 and 4,205.19

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Solution

The fourth proportional to 6,819.87, 10,210.23 and 4,205.19 is: 6,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.87 : 10,210.23 = 4,205.19 : x
  2. Step 2: Convert to fraction form
    6,819.87/10,210.23 = 4,205.19/x
  3. Step 3: Cross multiply
    6,819.87x = 10,210.23 × 4,205.19
  4. Step 4: Simplify right side
    6,819.87x = 42,935,957.09
  5. Step 5: Solve for x
    x = 42,935,957.09/6,819.87
  6. Step 6: Final answer
    x = 6,295.71

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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.