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Finding the Fourth Proportional to 11,762.85, 17,644.31 and 2,997.81

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Solution

The fourth proportional to 11,762.85, 17,644.31 and 2,997.81 is: 4,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.85 : 17,644.31 = 2,997.81 : x
  2. Step 2: Convert to fraction form
    11,762.85/17,644.31 = 2,997.81/x
  3. Step 3: Cross multiply
    11,762.85x = 17,644.31 × 2,997.81
  4. Step 4: Simplify right side
    11,762.85x = 52,894,273.97
  5. Step 5: Solve for x
    x = 52,894,273.97/11,762.85
  6. Step 6: Final answer
    x = 4,496.72

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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.