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Finding the Fourth Proportional to 11,704.64, 17,552.70 and 3,911.63

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Solution

The fourth proportional to 11,704.64, 17,552.70 and 3,911.63 is: 5,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.64 : 17,552.70 = 3,911.63 : x
  2. Step 2: Convert to fraction form
    11,704.64/17,552.70 = 3,911.63/x
  3. Step 3: Cross multiply
    11,704.64x = 17,552.70 × 3,911.63
  4. Step 4: Simplify right side
    11,704.64x = 68,659,580.14
  5. Step 5: Solve for x
    x = 68,659,580.14/11,704.64
  6. Step 6: Final answer
    x = 5,866.02

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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.