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Finding the Fourth Proportional to 11,726.61, 16,183.82 and 6,422.23

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Solution

The fourth proportional to 11,726.61, 16,183.82 and 6,422.23 is: 8,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.61 : 16,183.82 = 6,422.23 : x
  2. Step 2: Convert to fraction form
    11,726.61/16,183.82 = 6,422.23/x
  3. Step 3: Cross multiply
    11,726.61x = 16,183.82 × 6,422.23
  4. Step 4: Simplify right side
    11,726.61x = 103,936,214.32
  5. Step 5: Solve for x
    x = 103,936,214.32/11,726.61
  6. Step 6: Final answer
    x = 8,863.28

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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.