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Finding the Fourth Proportional to 6,684.90, 10,023.97 and 3,912.40

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Solution

The fourth proportional to 6,684.90, 10,023.97 and 3,912.40 is: 5,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.90 : 10,023.97 = 3,912.40 : x
  2. Step 2: Convert to fraction form
    6,684.90/10,023.97 = 3,912.40/x
  3. Step 3: Cross multiply
    6,684.90x = 10,023.97 × 3,912.40
  4. Step 4: Simplify right side
    6,684.90x = 39,217,780.23
  5. Step 5: Solve for x
    x = 39,217,780.23/6,684.90
  6. Step 6: Final answer
    x = 5,866.62

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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.