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Finding the Fourth Proportional to 11,754.46, 17,608.18 and 7,071.88

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Solution

The fourth proportional to 11,754.46, 17,608.18 and 7,071.88 is: 10,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.46 : 17,608.18 = 7,071.88 : x
  2. Step 2: Convert to fraction form
    11,754.46/17,608.18 = 7,071.88/x
  3. Step 3: Cross multiply
    11,754.46x = 17,608.18 × 7,071.88
  4. Step 4: Simplify right side
    11,754.46x = 124,522,935.98
  5. Step 5: Solve for x
    x = 124,522,935.98/11,754.46
  6. Step 6: Final answer
    x = 10,593.68

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Why These Related Problems?

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