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Finding the Fourth Proportional to 11,882.10, 16,401.39 and 6,848.33

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Solution

The fourth proportional to 11,882.10, 16,401.39 and 6,848.33 is: 9,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.10 : 16,401.39 = 6,848.33 : x
  2. Step 2: Convert to fraction form
    11,882.10/16,401.39 = 6,848.33/x
  3. Step 3: Cross multiply
    11,882.10x = 16,401.39 × 6,848.33
  4. Step 4: Simplify right side
    11,882.10x = 112,322,074.85
  5. Step 5: Solve for x
    x = 112,322,074.85/11,882.10
  6. Step 6: Final answer
    x = 9,453.05

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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.