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Finding the Fourth Proportional to 8,243.73, 11,376.50 and 4,466.97

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Solution

The fourth proportional to 8,243.73, 11,376.50 and 4,466.97 is: 6,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.73 : 11,376.50 = 4,466.97 : x
  2. Step 2: Convert to fraction form
    8,243.73/11,376.50 = 4,466.97/x
  3. Step 3: Cross multiply
    8,243.73x = 11,376.50 × 4,466.97
  4. Step 4: Simplify right side
    8,243.73x = 50,818,461.87
  5. Step 5: Solve for x
    x = 50,818,461.87/8,243.73
  6. Step 6: Final answer
    x = 6,164.50

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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.