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Finding the Fourth Proportional to 6,735.66, 10,103.67 and 2,293.31

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Solution

The fourth proportional to 6,735.66, 10,103.67 and 2,293.31 is: 3,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.66 : 10,103.67 = 2,293.31 : x
  2. Step 2: Convert to fraction form
    6,735.66/10,103.67 = 2,293.31/x
  3. Step 3: Cross multiply
    6,735.66x = 10,103.67 × 2,293.31
  4. Step 4: Simplify right side
    6,735.66x = 23,170,872.71
  5. Step 5: Solve for x
    x = 23,170,872.71/6,735.66
  6. Step 6: Final answer
    x = 3,440.03

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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.