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Finding the Fourth Proportional to 27,093.69, 40,639.75 and 8,371

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Solution

The fourth proportional to 27,093.69, 40,639.75 and 8,371 is: 12,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093.69 : 40,639.75 = 8,371 : x
  2. Step 2: Convert to fraction form
    27,093.69/40,639.75 = 8,371/x
  3. Step 3: Cross multiply
    27,093.69x = 40,639.75 × 8,371
  4. Step 4: Simplify right side
    27,093.69x = 340,195,347.25
  5. Step 5: Solve for x
    x = 340,195,347.25/27,093.69
  6. Step 6: Final answer
    x = 12,556.26

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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.