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Finding the Fourth Proportional to 12,762.94, 17,610.27 and 7,456.73

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Solution

The fourth proportional to 12,762.94, 17,610.27 and 7,456.73 is: 10,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.94 : 17,610.27 = 7,456.73 : x
  2. Step 2: Convert to fraction form
    12,762.94/17,610.27 = 7,456.73/x
  3. Step 3: Cross multiply
    12,762.94x = 17,610.27 × 7,456.73
  4. Step 4: Simplify right side
    12,762.94x = 131,315,028.62
  5. Step 5: Solve for x
    x = 131,315,028.62/12,762.94
  6. Step 6: Final answer
    x = 10,288.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.