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Finding the Fourth Proportional to 8,120.70, 12,171.82 and 3,437.78

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Solution

The fourth proportional to 8,120.70, 12,171.82 and 3,437.78 is: 5,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.70 : 12,171.82 = 3,437.78 : x
  2. Step 2: Convert to fraction form
    8,120.70/12,171.82 = 3,437.78/x
  3. Step 3: Cross multiply
    8,120.70x = 12,171.82 × 3,437.78
  4. Step 4: Simplify right side
    8,120.70x = 41,844,061.19
  5. Step 5: Solve for x
    x = 41,844,061.19/8,120.70
  6. Step 6: Final answer
    x = 5,152.77

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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.