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Finding the Fourth Proportional to 11,851.42, 16,354.62 and 6,546.28

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Solution

The fourth proportional to 11,851.42, 16,354.62 and 6,546.28 is: 9,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.42 : 16,354.62 = 6,546.28 : x
  2. Step 2: Convert to fraction form
    11,851.42/16,354.62 = 6,546.28/x
  3. Step 3: Cross multiply
    11,851.42x = 16,354.62 × 6,546.28
  4. Step 4: Simplify right side
    11,851.42x = 107,061,921.81
  5. Step 5: Solve for x
    x = 107,061,921.81/11,851.42
  6. Step 6: Final answer
    x = 9,033.68

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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.