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Finding the Fourth Proportional to 27,866.50, 41,796.39 and 7,090.18

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Solution

The fourth proportional to 27,866.50, 41,796.39 and 7,090.18 is: 10,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.50 : 41,796.39 = 7,090.18 : x
  2. Step 2: Convert to fraction form
    27,866.50/41,796.39 = 7,090.18/x
  3. Step 3: Cross multiply
    27,866.50x = 41,796.39 × 7,090.18
  4. Step 4: Simplify right side
    27,866.50x = 296,343,928.45
  5. Step 5: Solve for x
    x = 296,343,928.45/27,866.50
  6. Step 6: Final answer
    x = 10,634.42

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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.