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Finding the Fourth Proportional to 27,389.70, 41,085.72 and 7,669.44

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Solution

The fourth proportional to 27,389.70, 41,085.72 and 7,669.44 is: 11,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,389.70 : 41,085.72 = 7,669.44 : x
  2. Step 2: Convert to fraction form
    27,389.70/41,085.72 = 7,669.44/x
  3. Step 3: Cross multiply
    27,389.70x = 41,085.72 × 7,669.44
  4. Step 4: Simplify right side
    27,389.70x = 315,104,464.40
  5. Step 5: Solve for x
    x = 315,104,464.40/27,389.70
  6. Step 6: Final answer
    x = 11,504.49

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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.