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Finding the Fourth Proportional to 27,411, 41,123 and 8,943

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Solution

The fourth proportional to 27,411, 41,123 and 8,943 is: 13,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411 : 41,123 = 8,943 : x
  2. Step 2: Convert to fraction form
    27,411/41,123 = 8,943/x
  3. Step 3: Cross multiply
    27,411x = 41,123 × 8,943
  4. Step 4: Simplify right side
    27,411x = 367,762,989
  5. Step 5: Solve for x
    x = 367,762,989/27,411
  6. Step 6: Final answer
    x = 13,416.62

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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.