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Finding the Fourth Proportional to 11,771.90, 16,245.48 and 6,467.02

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Solution

The fourth proportional to 11,771.90, 16,245.48 and 6,467.02 is: 8,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.90 : 16,245.48 = 6,467.02 : x
  2. Step 2: Convert to fraction form
    11,771.90/16,245.48 = 6,467.02/x
  3. Step 3: Cross multiply
    11,771.90x = 16,245.48 × 6,467.02
  4. Step 4: Simplify right side
    11,771.90x = 105,059,844.07
  5. Step 5: Solve for x
    x = 105,059,844.07/11,771.90
  6. Step 6: Final answer
    x = 8,924.63

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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.