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Finding the Fourth Proportional to 11,728.42, 17,596.68 and 7,340.65

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Solution

The fourth proportional to 11,728.42, 17,596.68 and 7,340.65 is: 11,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.42 : 17,596.68 = 7,340.65 : x
  2. Step 2: Convert to fraction form
    11,728.42/17,596.68 = 7,340.65/x
  3. Step 3: Cross multiply
    11,728.42x = 17,596.68 × 7,340.65
  4. Step 4: Simplify right side
    11,728.42x = 129,170,997.52
  5. Step 5: Solve for x
    x = 129,170,997.52/11,728.42
  6. Step 6: Final answer
    x = 11,013.51

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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.