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Finding the Fourth Proportional to 11,805.66, 17,696.97 and 5,653.98

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Solution

The fourth proportional to 11,805.66, 17,696.97 and 5,653.98 is: 8,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.66 : 17,696.97 = 5,653.98 : x
  2. Step 2: Convert to fraction form
    11,805.66/17,696.97 = 5,653.98/x
  3. Step 3: Cross multiply
    11,805.66x = 17,696.97 × 5,653.98
  4. Step 4: Simplify right side
    11,805.66x = 100,058,314.44
  5. Step 5: Solve for x
    x = 100,058,314.44/11,805.66
  6. Step 6: Final answer
    x = 8,475.45

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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.