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Finding the Fourth Proportional to 11,843.14, 16,341.94 and 6,738.77

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Solution

The fourth proportional to 11,843.14, 16,341.94 and 6,738.77 is: 9,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.14 : 16,341.94 = 6,738.77 : x
  2. Step 2: Convert to fraction form
    11,843.14/16,341.94 = 6,738.77/x
  3. Step 3: Cross multiply
    11,843.14x = 16,341.94 × 6,738.77
  4. Step 4: Simplify right side
    11,843.14x = 110,124,568.85
  5. Step 5: Solve for x
    x = 110,124,568.85/11,843.14
  6. Step 6: Final answer
    x = 9,298.60

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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.