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Finding the Fourth Proportional to 10,611.91, 14,643.93 and 5,896.51

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Solution

The fourth proportional to 10,611.91, 14,643.93 and 5,896.51 is: 8,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.91 : 14,643.93 = 5,896.51 : x
  2. Step 2: Convert to fraction form
    10,611.91/14,643.93 = 5,896.51/x
  3. Step 3: Cross multiply
    10,611.91x = 14,643.93 × 5,896.51
  4. Step 4: Simplify right side
    10,611.91x = 86,348,079.68
  5. Step 5: Solve for x
    x = 86,348,079.68/10,611.91
  6. Step 6: Final answer
    x = 8,136.90

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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.