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Finding the Fourth Proportional to 6,957.57, 10,435.82 and 1,763.31

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Solution

The fourth proportional to 6,957.57, 10,435.82 and 1,763.31 is: 2,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.57 : 10,435.82 = 1,763.31 : x
  2. Step 2: Convert to fraction form
    6,957.57/10,435.82 = 1,763.31/x
  3. Step 3: Cross multiply
    6,957.57x = 10,435.82 × 1,763.31
  4. Step 4: Simplify right side
    6,957.57x = 18,401,576.95
  5. Step 5: Solve for x
    x = 18,401,576.95/6,957.57
  6. Step 6: Final answer
    x = 2,644.83

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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.