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Finding the Fourth Proportional to 7,791.34, 11,687.07 and 2,597.21

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Solution

The fourth proportional to 7,791.34, 11,687.07 and 2,597.21 is: 3,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.34 : 11,687.07 = 2,597.21 : x
  2. Step 2: Convert to fraction form
    7,791.34/11,687.07 = 2,597.21/x
  3. Step 3: Cross multiply
    7,791.34x = 11,687.07 × 2,597.21
  4. Step 4: Simplify right side
    7,791.34x = 30,353,775.07
  5. Step 5: Solve for x
    x = 30,353,775.07/7,791.34
  6. Step 6: Final answer
    x = 3,895.84

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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.