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Finding the Fourth Proportional to 11,861.03, 16,369.85 and 6,825.15

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Solution

The fourth proportional to 11,861.03, 16,369.85 and 6,825.15 is: 9,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.03 : 16,369.85 = 6,825.15 : x
  2. Step 2: Convert to fraction form
    11,861.03/16,369.85 = 6,825.15/x
  3. Step 3: Cross multiply
    11,861.03x = 16,369.85 × 6,825.15
  4. Step 4: Simplify right side
    11,861.03x = 111,726,698.79
  5. Step 5: Solve for x
    x = 111,726,698.79/11,861.03
  6. Step 6: Final answer
    x = 9,419.64

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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.