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Finding the Fourth Proportional to 7,647.59, 11,452.83 and 3,889.49

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Solution

The fourth proportional to 7,647.59, 11,452.83 and 3,889.49 is: 5,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.59 : 11,452.83 = 3,889.49 : x
  2. Step 2: Convert to fraction form
    7,647.59/11,452.83 = 3,889.49/x
  3. Step 3: Cross multiply
    7,647.59x = 11,452.83 × 3,889.49
  4. Step 4: Simplify right side
    7,647.59x = 44,545,610.49
  5. Step 5: Solve for x
    x = 44,545,610.49/7,647.59
  6. Step 6: Final answer
    x = 5,824.79

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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.