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Finding the Fourth Proportional to 8,243.64, 11,376.24 and 4,466.84

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Solution

The fourth proportional to 8,243.64, 11,376.24 and 4,466.84 is: 6,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.64 : 11,376.24 = 4,466.84 : x
  2. Step 2: Convert to fraction form
    8,243.64/11,376.24 = 4,466.84/x
  3. Step 3: Cross multiply
    8,243.64x = 11,376.24 × 4,466.84
  4. Step 4: Simplify right side
    8,243.64x = 50,815,843.88
  5. Step 5: Solve for x
    x = 50,815,843.88/8,243.64
  6. Step 6: Final answer
    x = 6,164.25

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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.