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Finding the Fourth Proportional to 11,731.56, 17,599.05 and 3,410.49

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Solution

The fourth proportional to 11,731.56, 17,599.05 and 3,410.49 is: 5,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.56 : 17,599.05 = 3,410.49 : x
  2. Step 2: Convert to fraction form
    11,731.56/17,599.05 = 3,410.49/x
  3. Step 3: Cross multiply
    11,731.56x = 17,599.05 × 3,410.49
  4. Step 4: Simplify right side
    11,731.56x = 60,021,384.03
  5. Step 5: Solve for x
    x = 60,021,384.03/11,731.56
  6. Step 6: Final answer
    x = 5,116.23

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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.