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Finding the Fourth Proportional to 27,541.38, 41,314.11 and 7,821.54

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Solution

The fourth proportional to 27,541.38, 41,314.11 and 7,821.54 is: 11,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.38 : 41,314.11 = 7,821.54 : x
  2. Step 2: Convert to fraction form
    27,541.38/41,314.11 = 7,821.54/x
  3. Step 3: Cross multiply
    27,541.38x = 41,314.11 × 7,821.54
  4. Step 4: Simplify right side
    27,541.38x = 323,139,963.93
  5. Step 5: Solve for x
    x = 323,139,963.93/27,541.38
  6. Step 6: Final answer
    x = 11,732.89

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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.