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Finding the Fourth Proportional to 11,843.18, 16,344.72 and 8,853.86

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Solution

The fourth proportional to 11,843.18, 16,344.72 and 8,853.86 is: 12,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.18 : 16,344.72 = 8,853.86 : x
  2. Step 2: Convert to fraction form
    11,843.18/16,344.72 = 8,853.86/x
  3. Step 3: Cross multiply
    11,843.18x = 16,344.72 × 8,853.86
  4. Step 4: Simplify right side
    11,843.18x = 144,713,862.62
  5. Step 5: Solve for x
    x = 144,713,862.62/11,843.18
  6. Step 6: Final answer
    x = 12,219.17

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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.