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Finding the Fourth Proportional to 11,611.68, 16,023.36 and 6,896.32

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Solution

The fourth proportional to 11,611.68, 16,023.36 and 6,896.32 is: 9,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.68 : 16,023.36 = 6,896.32 : x
  2. Step 2: Convert to fraction form
    11,611.68/16,023.36 = 6,896.32/x
  3. Step 3: Cross multiply
    11,611.68x = 16,023.36 × 6,896.32
  4. Step 4: Simplify right side
    11,611.68x = 110,502,218.04
  5. Step 5: Solve for x
    x = 110,502,218.04/11,611.68
  6. Step 6: Final answer
    x = 9,516.47

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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.