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Finding the Fourth Proportional to 11,731.88, 16,189.75 and 6,354.11

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Solution

The fourth proportional to 11,731.88, 16,189.75 and 6,354.11 is: 8,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.88 : 16,189.75 = 6,354.11 : x
  2. Step 2: Convert to fraction form
    11,731.88/16,189.75 = 6,354.11/x
  3. Step 3: Cross multiply
    11,731.88x = 16,189.75 × 6,354.11
  4. Step 4: Simplify right side
    11,731.88x = 102,871,450.52
  5. Step 5: Solve for x
    x = 102,871,450.52/11,731.88
  6. Step 6: Final answer
    x = 8,768.54

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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.