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Finding the Fourth Proportional to 8,171.34, 12,240.96 and 5,389.53

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Solution

The fourth proportional to 8,171.34, 12,240.96 and 5,389.53 is: 8,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.34 : 12,240.96 = 5,389.53 : x
  2. Step 2: Convert to fraction form
    8,171.34/12,240.96 = 5,389.53/x
  3. Step 3: Cross multiply
    8,171.34x = 12,240.96 × 5,389.53
  4. Step 4: Simplify right side
    8,171.34x = 65,973,021.15
  5. Step 5: Solve for x
    x = 65,973,021.15/8,171.34
  6. Step 6: Final answer
    x = 8,073.71

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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.