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Finding the Fourth Proportional to 12,893.38, 17,796.09 and 7,922.50

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Solution

The fourth proportional to 12,893.38, 17,796.09 and 7,922.50 is: 10,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.38 : 17,796.09 = 7,922.50 : x
  2. Step 2: Convert to fraction form
    12,893.38/17,796.09 = 7,922.50/x
  3. Step 3: Cross multiply
    12,893.38x = 17,796.09 × 7,922.50
  4. Step 4: Simplify right side
    12,893.38x = 140,989,523.03
  5. Step 5: Solve for x
    x = 140,989,523.03/12,893.38
  6. Step 6: Final answer
    x = 10,935.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.