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Finding the Fourth Proportional to 27,666.81, 41,487.98 and 7,940.79

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Solution

The fourth proportional to 27,666.81, 41,487.98 and 7,940.79 is: 11,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.81 : 41,487.98 = 7,940.79 : x
  2. Step 2: Convert to fraction form
    27,666.81/41,487.98 = 7,940.79/x
  3. Step 3: Cross multiply
    27,666.81x = 41,487.98 × 7,940.79
  4. Step 4: Simplify right side
    27,666.81x = 329,447,297.00
  5. Step 5: Solve for x
    x = 329,447,297.00/27,666.81
  6. Step 6: Final answer
    x = 11,907.67

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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.