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Finding the Fourth Proportional to 12,892.81, 17,791.15 and 7,586.90

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Solution

The fourth proportional to 12,892.81, 17,791.15 and 7,586.90 is: 10,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.81 : 17,791.15 = 7,586.90 : x
  2. Step 2: Convert to fraction form
    12,892.81/17,791.15 = 7,586.90/x
  3. Step 3: Cross multiply
    12,892.81x = 17,791.15 × 7,586.90
  4. Step 4: Simplify right side
    12,892.81x = 134,979,638.00
  5. Step 5: Solve for x
    x = 134,979,638.00/12,892.81
  6. Step 6: Final answer
    x = 10,469.38

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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.