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Finding the Fourth Proportional to 27,540.00, 41,311.56 and 7,817

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Solution

The fourth proportional to 27,540.00, 41,311.56 and 7,817 is: 11,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.00 : 41,311.56 = 7,817 : x
  2. Step 2: Convert to fraction form
    27,540.00/41,311.56 = 7,817/x
  3. Step 3: Cross multiply
    27,540.00x = 41,311.56 × 7,817
  4. Step 4: Simplify right side
    27,540.00x = 322,932,464.52
  5. Step 5: Solve for x
    x = 322,932,464.52/27,540.00
  6. Step 6: Final answer
    x = 11,725.94

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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.