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Finding the Fourth Proportional to 27,388.82, 41,084.26 and 7,666.87

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Solution

The fourth proportional to 27,388.82, 41,084.26 and 7,666.87 is: 11,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388.82 : 41,084.26 = 7,666.87 : x
  2. Step 2: Convert to fraction form
    27,388.82/41,084.26 = 7,666.87/x
  3. Step 3: Cross multiply
    27,388.82x = 41,084.26 × 7,666.87
  4. Step 4: Simplify right side
    27,388.82x = 314,987,680.47
  5. Step 5: Solve for x
    x = 314,987,680.47/27,388.82
  6. Step 6: Final answer
    x = 11,500.59

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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.