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Finding the Fourth Proportional to 11,656.85, 16,081.63 and 8,122.11

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Solution

The fourth proportional to 11,656.85, 16,081.63 and 8,122.11 is: 11,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.85 : 16,081.63 = 8,122.11 : x
  2. Step 2: Convert to fraction form
    11,656.85/16,081.63 = 8,122.11/x
  3. Step 3: Cross multiply
    11,656.85x = 16,081.63 × 8,122.11
  4. Step 4: Simplify right side
    11,656.85x = 130,616,747.94
  5. Step 5: Solve for x
    x = 130,616,747.94/11,656.85
  6. Step 6: Final answer
    x = 11,205.15

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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.