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Finding the Fourth Proportional to 27,384.39, 41,074.97 and 7,662.51

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Solution

The fourth proportional to 27,384.39, 41,074.97 and 7,662.51 is: 11,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.39 : 41,074.97 = 7,662.51 : x
  2. Step 2: Convert to fraction form
    27,384.39/41,074.97 = 7,662.51/x
  3. Step 3: Cross multiply
    27,384.39x = 41,074.97 × 7,662.51
  4. Step 4: Simplify right side
    27,384.39x = 314,737,330.06
  5. Step 5: Solve for x
    x = 314,737,330.06/27,384.39
  6. Step 6: Final answer
    x = 11,493.31

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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.