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Finding the Fourth Proportional to 11,704.52, 17,557.32 and 6,506.48

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Solution

The fourth proportional to 11,704.52, 17,557.32 and 6,506.48 is: 9,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.52 : 17,557.32 = 6,506.48 : x
  2. Step 2: Convert to fraction form
    11,704.52/17,557.32 = 6,506.48/x
  3. Step 3: Cross multiply
    11,704.52x = 17,557.32 × 6,506.48
  4. Step 4: Simplify right side
    11,704.52x = 114,236,351.43
  5. Step 5: Solve for x
    x = 114,236,351.43/11,704.52
  6. Step 6: Final answer
    x = 9,760.02

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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.