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Finding the Fourth Proportional to 8,277.74, 12,411.90 and 2,729.57

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Solution

The fourth proportional to 8,277.74, 12,411.90 and 2,729.57 is: 4,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.74 : 12,411.90 = 2,729.57 : x
  2. Step 2: Convert to fraction form
    8,277.74/12,411.90 = 2,729.57/x
  3. Step 3: Cross multiply
    8,277.74x = 12,411.90 × 2,729.57
  4. Step 4: Simplify right side
    8,277.74x = 33,879,149.88
  5. Step 5: Solve for x
    x = 33,879,149.88/8,277.74
  6. Step 6: Final answer
    x = 4,092.80

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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.