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Finding the Fourth Proportional to 27,583.34, 41,362.73 and 7,857.23

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Solution

The fourth proportional to 27,583.34, 41,362.73 and 7,857.23 is: 11,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.34 : 41,362.73 = 7,857.23 : x
  2. Step 2: Convert to fraction form
    27,583.34/41,362.73 = 7,857.23/x
  3. Step 3: Cross multiply
    27,583.34x = 41,362.73 × 7,857.23
  4. Step 4: Simplify right side
    27,583.34x = 324,996,443.75
  5. Step 5: Solve for x
    x = 324,996,443.75/27,583.34
  6. Step 6: Final answer
    x = 11,782.35

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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.