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Finding the Fourth Proportional to 6,823.40, 10,235.22 and 2,143.30

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Solution

The fourth proportional to 6,823.40, 10,235.22 and 2,143.30 is: 3,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.40 : 10,235.22 = 2,143.30 : x
  2. Step 2: Convert to fraction form
    6,823.40/10,235.22 = 2,143.30/x
  3. Step 3: Cross multiply
    6,823.40x = 10,235.22 × 2,143.30
  4. Step 4: Simplify right side
    6,823.40x = 21,937,147.03
  5. Step 5: Solve for x
    x = 21,937,147.03/6,823.40
  6. Step 6: Final answer
    x = 3,214.99

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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.