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Finding the Fourth Proportional to 8,644.50, 11,930.24 and 5,661.95

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Solution

The fourth proportional to 8,644.50, 11,930.24 and 5,661.95 is: 7,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.50 : 11,930.24 = 5,661.95 : x
  2. Step 2: Convert to fraction form
    8,644.50/11,930.24 = 5,661.95/x
  3. Step 3: Cross multiply
    8,644.50x = 11,930.24 × 5,661.95
  4. Step 4: Simplify right side
    8,644.50x = 67,548,376.87
  5. Step 5: Solve for x
    x = 67,548,376.87/8,644.50
  6. Step 6: Final answer
    x = 7,814.03

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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.