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Finding the Fourth Proportional to 7,679.38, 11,522.31 and 3,783.82

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Solution

The fourth proportional to 7,679.38, 11,522.31 and 3,783.82 is: 5,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.38 : 11,522.31 = 3,783.82 : x
  2. Step 2: Convert to fraction form
    7,679.38/11,522.31 = 3,783.82/x
  3. Step 3: Cross multiply
    7,679.38x = 11,522.31 × 3,783.82
  4. Step 4: Simplify right side
    7,679.38x = 43,598,347.02
  5. Step 5: Solve for x
    x = 43,598,347.02/7,679.38
  6. Step 6: Final answer
    x = 5,677.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.