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Finding the Fourth Proportional to 6,957.09, 10,435.37 and 1,762.92

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Solution

The fourth proportional to 6,957.09, 10,435.37 and 1,762.92 is: 2,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.09 : 10,435.37 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    6,957.09/10,435.37 = 1,762.92/x
  3. Step 3: Cross multiply
    6,957.09x = 10,435.37 × 1,762.92
  4. Step 4: Simplify right side
    6,957.09x = 18,396,713.67
  5. Step 5: Solve for x
    x = 18,396,713.67/6,957.09
  6. Step 6: Final answer
    x = 2,644.31

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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.