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Finding the Fourth Proportional to 27,687.85, 41,538.14 and 7,966.57

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Solution

The fourth proportional to 27,687.85, 41,538.14 and 7,966.57 is: 11,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.85 : 41,538.14 = 7,966.57 : x
  2. Step 2: Convert to fraction form
    27,687.85/41,538.14 = 7,966.57/x
  3. Step 3: Cross multiply
    27,687.85x = 41,538.14 × 7,966.57
  4. Step 4: Simplify right side
    27,687.85x = 330,916,460.15
  5. Step 5: Solve for x
    x = 330,916,460.15/27,687.85
  6. Step 6: Final answer
    x = 11,951.68

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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.