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Finding the Fourth Proportional to 10,611.99, 14,645.00 and 5,896.26

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Solution

The fourth proportional to 10,611.99, 14,645.00 and 5,896.26 is: 8,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.99 : 14,645.00 = 5,896.26 : x
  2. Step 2: Convert to fraction form
    10,611.99/14,645.00 = 5,896.26/x
  3. Step 3: Cross multiply
    10,611.99x = 14,645.00 × 5,896.26
  4. Step 4: Simplify right side
    10,611.99x = 86,350,742.44
  5. Step 5: Solve for x
    x = 86,350,742.44/10,611.99
  6. Step 6: Final answer
    x = 8,137.09

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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.