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Finding the Fourth Proportional to 11,771.64, 16,245.09 and 6,466.14

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Solution

The fourth proportional to 11,771.64, 16,245.09 and 6,466.14 is: 8,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.64 : 16,245.09 = 6,466.14 : x
  2. Step 2: Convert to fraction form
    11,771.64/16,245.09 = 6,466.14/x
  3. Step 3: Cross multiply
    11,771.64x = 16,245.09 × 6,466.14
  4. Step 4: Simplify right side
    11,771.64x = 105,043,026.25
  5. Step 5: Solve for x
    x = 105,043,026.25/11,771.64
  6. Step 6: Final answer
    x = 8,923.40

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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.