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Finding the Fourth Proportional to 11,796.78, 16,174.06 and 11,586.18

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Solution

The fourth proportional to 11,796.78, 16,174.06 and 11,586.18 is: 15,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.78 : 16,174.06 = 11,586.18 : x
  2. Step 2: Convert to fraction form
    11,796.78/16,174.06 = 11,586.18/x
  3. Step 3: Cross multiply
    11,796.78x = 16,174.06 × 11,586.18
  4. Step 4: Simplify right side
    11,796.78x = 187,395,570.49
  5. Step 5: Solve for x
    x = 187,395,570.49/11,796.78
  6. Step 6: Final answer
    x = 15,885.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.