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Finding the Fourth Proportional to 10,611.80, 14,644.76 and 5,896.09

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Solution

The fourth proportional to 10,611.80, 14,644.76 and 5,896.09 is: 8,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.80 : 14,644.76 = 5,896.09 : x
  2. Step 2: Convert to fraction form
    10,611.80/14,644.76 = 5,896.09/x
  3. Step 3: Cross multiply
    10,611.80x = 14,644.76 × 5,896.09
  4. Step 4: Simplify right side
    10,611.80x = 86,346,756.90
  5. Step 5: Solve for x
    x = 86,346,756.90/10,611.80
  6. Step 6: Final answer
    x = 8,136.86

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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.