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Finding the Fourth Proportional to 11,851.75, 16,354.90 and 6,546.43

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Solution

The fourth proportional to 11,851.75, 16,354.90 and 6,546.43 is: 9,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.75 : 16,354.90 = 6,546.43 : x
  2. Step 2: Convert to fraction form
    11,851.75/16,354.90 = 6,546.43/x
  3. Step 3: Cross multiply
    11,851.75x = 16,354.90 × 6,546.43
  4. Step 4: Simplify right side
    11,851.75x = 107,066,208.01
  5. Step 5: Solve for x
    x = 107,066,208.01/11,851.75
  6. Step 6: Final answer
    x = 9,033.79

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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.