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Finding the Fourth Proportional to 11,892.94, 17,842.02 and 4,873

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Solution

The fourth proportional to 11,892.94, 17,842.02 and 4,873 is: 7,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.94 : 17,842.02 = 4,873 : x
  2. Step 2: Convert to fraction form
    11,892.94/17,842.02 = 4,873/x
  3. Step 3: Cross multiply
    11,892.94x = 17,842.02 × 4,873
  4. Step 4: Simplify right side
    11,892.94x = 86,944,163.46
  5. Step 5: Solve for x
    x = 86,944,163.46/11,892.94
  6. Step 6: Final answer
    x = 7,310.57

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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.