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Finding the Fourth Proportional to 27,548.56, 41,323.62 and 6,772

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Solution

The fourth proportional to 27,548.56, 41,323.62 and 6,772 is: 10,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.56 : 41,323.62 = 6,772 : x
  2. Step 2: Convert to fraction form
    27,548.56/41,323.62 = 6,772/x
  3. Step 3: Cross multiply
    27,548.56x = 41,323.62 × 6,772
  4. Step 4: Simplify right side
    27,548.56x = 279,843,554.64
  5. Step 5: Solve for x
    x = 279,843,554.64/27,548.56
  6. Step 6: Final answer
    x = 10,158.19

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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.