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Finding the Fourth Proportional to 8,269.70, 12,379.94 and 5,486.76

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Solution

The fourth proportional to 8,269.70, 12,379.94 and 5,486.76 is: 8,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.70 : 12,379.94 = 5,486.76 : x
  2. Step 2: Convert to fraction form
    8,269.70/12,379.94 = 5,486.76/x
  3. Step 3: Cross multiply
    8,269.70x = 12,379.94 × 5,486.76
  4. Step 4: Simplify right side
    8,269.70x = 67,925,759.59
  5. Step 5: Solve for x
    x = 67,925,759.59/8,269.70
  6. Step 6: Final answer
    x = 8,213.81

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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.