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Finding the Fourth Proportional to 11,616.38, 17,424.65 and 2,851.30

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Solution

The fourth proportional to 11,616.38, 17,424.65 and 2,851.30 is: 4,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.38 : 17,424.65 = 2,851.30 : x
  2. Step 2: Convert to fraction form
    11,616.38/17,424.65 = 2,851.30/x
  3. Step 3: Cross multiply
    11,616.38x = 17,424.65 × 2,851.30
  4. Step 4: Simplify right side
    11,616.38x = 49,682,933.45
  5. Step 5: Solve for x
    x = 49,682,933.45/11,616.38
  6. Step 6: Final answer
    x = 4,276.97

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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.