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Finding the Fourth Proportional to 8,771.34, 13,161.87 and 3,576

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Solution

The fourth proportional to 8,771.34, 13,161.87 and 3,576 is: 5,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.34 : 13,161.87 = 3,576 : x
  2. Step 2: Convert to fraction form
    8,771.34/13,161.87 = 3,576/x
  3. Step 3: Cross multiply
    8,771.34x = 13,161.87 × 3,576
  4. Step 4: Simplify right side
    8,771.34x = 47,066,847.12
  5. Step 5: Solve for x
    x = 47,066,847.12/8,771.34
  6. Step 6: Final answer
    x = 5,365.98

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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.