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Finding the Fourth Proportional to 12,383.91, 17,089.46 and 7,536.82

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Solution

The fourth proportional to 12,383.91, 17,089.46 and 7,536.82 is: 10,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.91 : 17,089.46 = 7,536.82 : x
  2. Step 2: Convert to fraction form
    12,383.91/17,089.46 = 7,536.82/x
  3. Step 3: Cross multiply
    12,383.91x = 17,089.46 × 7,536.82
  4. Step 4: Simplify right side
    12,383.91x = 128,800,183.92
  5. Step 5: Solve for x
    x = 128,800,183.92/12,383.91
  6. Step 6: Final answer
    x = 10,400.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.