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Finding the Fourth Proportional to 27,438.71, 41,160.50 and 7,717.43

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Solution

The fourth proportional to 27,438.71, 41,160.50 and 7,717.43 is: 11,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.71 : 41,160.50 = 7,717.43 : x
  2. Step 2: Convert to fraction form
    27,438.71/41,160.50 = 7,717.43/x
  3. Step 3: Cross multiply
    27,438.71x = 41,160.50 × 7,717.43
  4. Step 4: Simplify right side
    27,438.71x = 317,653,277.52
  5. Step 5: Solve for x
    x = 317,653,277.52/27,438.71
  6. Step 6: Final answer
    x = 11,576.83

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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.