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Finding the Fourth Proportional to 7,985.75, 11,978.83 and 2,791.63

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Solution

The fourth proportional to 7,985.75, 11,978.83 and 2,791.63 is: 4,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.75 : 11,978.83 = 2,791.63 : x
  2. Step 2: Convert to fraction form
    7,985.75/11,978.83 = 2,791.63/x
  3. Step 3: Cross multiply
    7,985.75x = 11,978.83 × 2,791.63
  4. Step 4: Simplify right side
    7,985.75x = 33,440,401.30
  5. Step 5: Solve for x
    x = 33,440,401.30/7,985.75
  6. Step 6: Final answer
    x = 4,187.51

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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.