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Finding the Fourth Proportional to 11,032, 16,548.27 and 2,824

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Solution

The fourth proportional to 11,032, 16,548.27 and 2,824 is: 4,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 16,548.27 = 2,824 : x
  2. Step 2: Convert to fraction form
    11,032/16,548.27 = 2,824/x
  3. Step 3: Cross multiply
    11,032x = 16,548.27 × 2,824
  4. Step 4: Simplify right side
    11,032x = 46,732,314.48
  5. Step 5: Solve for x
    x = 46,732,314.48/11,032
  6. Step 6: Final answer
    x = 4,236.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.