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Finding the Fourth Proportional to 6,957.26, 10,435.96 and 1,763.14

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Solution

The fourth proportional to 6,957.26, 10,435.96 and 1,763.14 is: 2,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.26 : 10,435.96 = 1,763.14 : x
  2. Step 2: Convert to fraction form
    6,957.26/10,435.96 = 1,763.14/x
  3. Step 3: Cross multiply
    6,957.26x = 10,435.96 × 1,763.14
  4. Step 4: Simplify right side
    6,957.26x = 18,400,058.51
  5. Step 5: Solve for x
    x = 18,400,058.51/6,957.26
  6. Step 6: Final answer
    x = 2,644.73

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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.