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Finding the Fourth Proportional to 6,823.99, 10,236.21 and 1,893.68

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Solution

The fourth proportional to 6,823.99, 10,236.21 and 1,893.68 is: 2,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.99 : 10,236.21 = 1,893.68 : x
  2. Step 2: Convert to fraction form
    6,823.99/10,236.21 = 1,893.68/x
  3. Step 3: Cross multiply
    6,823.99x = 10,236.21 × 1,893.68
  4. Step 4: Simplify right side
    6,823.99x = 19,384,045.50
  5. Step 5: Solve for x
    x = 19,384,045.50/6,823.99
  6. Step 6: Final answer
    x = 2,840.58

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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.