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Finding the Fourth Proportional to 11,607.90, 17,410.41 and 3,816.78

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Solution

The fourth proportional to 11,607.90, 17,410.41 and 3,816.78 is: 5,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.90 : 17,410.41 = 3,816.78 : x
  2. Step 2: Convert to fraction form
    11,607.90/17,410.41 = 3,816.78/x
  3. Step 3: Cross multiply
    11,607.90x = 17,410.41 × 3,816.78
  4. Step 4: Simplify right side
    11,607.90x = 66,451,704.68
  5. Step 5: Solve for x
    x = 66,451,704.68/11,607.90
  6. Step 6: Final answer
    x = 5,724.70

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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.