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Finding the Fourth Proportional to 27,385.84, 41,081.03 and 7,664.37

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Solution

The fourth proportional to 27,385.84, 41,081.03 and 7,664.37 is: 11,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.84 : 41,081.03 = 7,664.37 : x
  2. Step 2: Convert to fraction form
    27,385.84/41,081.03 = 7,664.37/x
  3. Step 3: Cross multiply
    27,385.84x = 41,081.03 × 7,664.37
  4. Step 4: Simplify right side
    27,385.84x = 314,860,213.90
  5. Step 5: Solve for x
    x = 314,860,213.90/27,385.84
  6. Step 6: Final answer
    x = 11,497.19

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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.