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Finding the Fourth Proportional to 11,744.28, 17,611.16 and 8,443.58

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Solution

The fourth proportional to 11,744.28, 17,611.16 and 8,443.58 is: 12,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.28 : 17,611.16 = 8,443.58 : x
  2. Step 2: Convert to fraction form
    11,744.28/17,611.16 = 8,443.58/x
  3. Step 3: Cross multiply
    11,744.28x = 17,611.16 × 8,443.58
  4. Step 4: Simplify right side
    11,744.28x = 148,701,108.08
  5. Step 5: Solve for x
    x = 148,701,108.08/11,744.28
  6. Step 6: Final answer
    x = 12,661.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.