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Finding the Fourth Proportional to 27,657.99, 41,488.74 and 7,936.11

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Solution

The fourth proportional to 27,657.99, 41,488.74 and 7,936.11 is: 11,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.99 : 41,488.74 = 7,936.11 : x
  2. Step 2: Convert to fraction form
    27,657.99/41,488.74 = 7,936.11/x
  3. Step 3: Cross multiply
    27,657.99x = 41,488.74 × 7,936.11
  4. Step 4: Simplify right side
    27,657.99x = 329,259,204.40
  5. Step 5: Solve for x
    x = 329,259,204.40/27,657.99
  6. Step 6: Final answer
    x = 11,904.67

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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.