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Finding the Fourth Proportional to 27,431.34, 41,147.01 and 7,711.89

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Solution

The fourth proportional to 27,431.34, 41,147.01 and 7,711.89 is: 11,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.34 : 41,147.01 = 7,711.89 : x
  2. Step 2: Convert to fraction form
    27,431.34/41,147.01 = 7,711.89/x
  3. Step 3: Cross multiply
    27,431.34x = 41,147.01 × 7,711.89
  4. Step 4: Simplify right side
    27,431.34x = 317,321,214.95
  5. Step 5: Solve for x
    x = 317,321,214.95/27,431.34
  6. Step 6: Final answer
    x = 11,567.84

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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.