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Finding the Fourth Proportional to 8,227.74, 11,354.94 and 5,084.94

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Solution

The fourth proportional to 8,227.74, 11,354.94 and 5,084.94 is: 7,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.74 : 11,354.94 = 5,084.94 : x
  2. Step 2: Convert to fraction form
    8,227.74/11,354.94 = 5,084.94/x
  3. Step 3: Cross multiply
    8,227.74x = 11,354.94 × 5,084.94
  4. Step 4: Simplify right side
    8,227.74x = 57,739,188.60
  5. Step 5: Solve for x
    x = 57,739,188.60/8,227.74
  6. Step 6: Final answer
    x = 7,017.62

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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.