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Finding the Fourth Proportional to 7,874.85, 10,867.23 and 5,867.27

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Solution

The fourth proportional to 7,874.85, 10,867.23 and 5,867.27 is: 8,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.85 : 10,867.23 = 5,867.27 : x
  2. Step 2: Convert to fraction form
    7,874.85/10,867.23 = 5,867.27/x
  3. Step 3: Cross multiply
    7,874.85x = 10,867.23 × 5,867.27
  4. Step 4: Simplify right side
    7,874.85x = 63,760,918.23
  5. Step 5: Solve for x
    x = 63,760,918.23/7,874.85
  6. Step 6: Final answer
    x = 8,096.78

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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.