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Finding the Fourth Proportional to 11,849.63, 16,348.73 and 6,811.97

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Solution

The fourth proportional to 11,849.63, 16,348.73 and 6,811.97 is: 9,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.63 : 16,348.73 = 6,811.97 : x
  2. Step 2: Convert to fraction form
    11,849.63/16,348.73 = 6,811.97/x
  3. Step 3: Cross multiply
    11,849.63x = 16,348.73 × 6,811.97
  4. Step 4: Simplify right side
    11,849.63x = 111,366,942.49
  5. Step 5: Solve for x
    x = 111,366,942.49/11,849.63
  6. Step 6: Final answer
    x = 9,398.35

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