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Finding the Fourth Proportional to 11,644.24, 16,069.62 and 6,865.60

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Solution

The fourth proportional to 11,644.24, 16,069.62 and 6,865.60 is: 9,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.24 : 16,069.62 = 6,865.60 : x
  2. Step 2: Convert to fraction form
    11,644.24/16,069.62 = 6,865.60/x
  3. Step 3: Cross multiply
    11,644.24x = 16,069.62 × 6,865.60
  4. Step 4: Simplify right side
    11,644.24x = 110,327,583.07
  5. Step 5: Solve for x
    x = 110,327,583.07/11,644.24
  6. Step 6: Final answer
    x = 9,474.86

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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.