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Finding the Fourth Proportional to 11,171.42, 16,757.12 and 2,851.44

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Solution

The fourth proportional to 11,171.42, 16,757.12 and 2,851.44 is: 4,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.42 : 16,757.12 = 2,851.44 : x
  2. Step 2: Convert to fraction form
    11,171.42/16,757.12 = 2,851.44/x
  3. Step 3: Cross multiply
    11,171.42x = 16,757.12 × 2,851.44
  4. Step 4: Simplify right side
    11,171.42x = 47,781,913.67
  5. Step 5: Solve for x
    x = 47,781,913.67/11,171.42
  6. Step 6: Final answer
    x = 4,277.16

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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.