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Finding the Fourth Proportional to 27,657.11, 41,485.89 and 7,936.28

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Solution

The fourth proportional to 27,657.11, 41,485.89 and 7,936.28 is: 11,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.11 : 41,485.89 = 7,936.28 : x
  2. Step 2: Convert to fraction form
    27,657.11/41,485.89 = 7,936.28/x
  3. Step 3: Cross multiply
    27,657.11x = 41,485.89 × 7,936.28
  4. Step 4: Simplify right side
    27,657.11x = 329,243,599.41
  5. Step 5: Solve for x
    x = 329,243,599.41/27,657.11
  6. Step 6: Final answer
    x = 11,904.49

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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.