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Finding the Fourth Proportional to 27,564.49, 41,341.27 and 7,843.22

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Solution

The fourth proportional to 27,564.49, 41,341.27 and 7,843.22 is: 11,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.49 : 41,341.27 = 7,843.22 : x
  2. Step 2: Convert to fraction form
    27,564.49/41,341.27 = 7,843.22/x
  3. Step 3: Cross multiply
    27,564.49x = 41,341.27 × 7,843.22
  4. Step 4: Simplify right side
    27,564.49x = 324,248,675.69
  5. Step 5: Solve for x
    x = 324,248,675.69/27,564.49
  6. Step 6: Final answer
    x = 11,763.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.