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Finding the Fourth Proportional to 27,599.26, 41,400.42 and 7,876.30

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Solution

The fourth proportional to 27,599.26, 41,400.42 and 7,876.30 is: 11,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.26 : 41,400.42 = 7,876.30 : x
  2. Step 2: Convert to fraction form
    27,599.26/41,400.42 = 7,876.30/x
  3. Step 3: Cross multiply
    27,599.26x = 41,400.42 × 7,876.30
  4. Step 4: Simplify right side
    27,599.26x = 326,082,128.05
  5. Step 5: Solve for x
    x = 326,082,128.05/27,599.26
  6. Step 6: Final answer
    x = 11,814.89

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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.