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Finding the Fourth Proportional to 6,819, 10,230.90 and 3,358.68

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Solution

The fourth proportional to 6,819, 10,230.90 and 3,358.68 is: 5,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819 : 10,230.90 = 3,358.68 : x
  2. Step 2: Convert to fraction form
    6,819/10,230.90 = 3,358.68/x
  3. Step 3: Cross multiply
    6,819x = 10,230.90 × 3,358.68
  4. Step 4: Simplify right side
    6,819x = 34,362,319.21
  5. Step 5: Solve for x
    x = 34,362,319.21/6,819
  6. Step 6: Final answer
    x = 5,039.20

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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.