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Finding the Fourth Proportional to 13,762.38, 18,992.34 and 7,794.03

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Solution

The fourth proportional to 13,762.38, 18,992.34 and 7,794.03 is: 10,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.38 : 18,992.34 = 7,794.03 : x
  2. Step 2: Convert to fraction form
    13,762.38/18,992.34 = 7,794.03/x
  3. Step 3: Cross multiply
    13,762.38x = 18,992.34 × 7,794.03
  4. Step 4: Simplify right side
    13,762.38x = 148,026,867.73
  5. Step 5: Solve for x
    x = 148,026,867.73/13,762.38
  6. Step 6: Final answer
    x = 10,755.91

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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.