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Finding the Fourth Proportional to 27,668.56, 41,503 and 6,892.08

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Solution

The fourth proportional to 27,668.56, 41,503 and 6,892.08 is: 10,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.56 : 41,503 = 6,892.08 : x
  2. Step 2: Convert to fraction form
    27,668.56/41,503 = 6,892.08/x
  3. Step 3: Cross multiply
    27,668.56x = 41,503 × 6,892.08
  4. Step 4: Simplify right side
    27,668.56x = 286,041,996.24
  5. Step 5: Solve for x
    x = 286,041,996.24/27,668.56
  6. Step 6: Final answer
    x = 10,338.16

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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.