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Finding the Fourth Proportional to 27,564.48, 41,348.64 and 7,844.48

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Solution

The fourth proportional to 27,564.48, 41,348.64 and 7,844.48 is: 11,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.48 : 41,348.64 = 7,844.48 : x
  2. Step 2: Convert to fraction form
    27,564.48/41,348.64 = 7,844.48/x
  3. Step 3: Cross multiply
    27,564.48x = 41,348.64 × 7,844.48
  4. Step 4: Simplify right side
    27,564.48x = 324,358,579.51
  5. Step 5: Solve for x
    x = 324,358,579.51/27,564.48
  6. Step 6: Final answer
    x = 11,767.27

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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.