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Finding the Fourth Proportional to 12,758.22, 17,611.27 and 8,507.75

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Solution

The fourth proportional to 12,758.22, 17,611.27 and 8,507.75 is: 11,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.22 : 17,611.27 = 8,507.75 : x
  2. Step 2: Convert to fraction form
    12,758.22/17,611.27 = 8,507.75/x
  3. Step 3: Cross multiply
    12,758.22x = 17,611.27 × 8,507.75
  4. Step 4: Simplify right side
    12,758.22x = 149,832,173.02
  5. Step 5: Solve for x
    x = 149,832,173.02/12,758.22
  6. Step 6: Final answer
    x = 11,743.97

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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.