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Finding the Fourth Proportional to 8,120.34, 12,171.29 and 3,437.43

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Solution

The fourth proportional to 8,120.34, 12,171.29 and 3,437.43 is: 5,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.34 : 12,171.29 = 3,437.43 : x
  2. Step 2: Convert to fraction form
    8,120.34/12,171.29 = 3,437.43/x
  3. Step 3: Cross multiply
    8,120.34x = 12,171.29 × 3,437.43
  4. Step 4: Simplify right side
    8,120.34x = 41,837,957.38
  5. Step 5: Solve for x
    x = 41,837,957.38/8,120.34
  6. Step 6: Final answer
    x = 5,152.24

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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.