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Finding the Fourth Proportional to 8,651.84, 12,977.94 and 3,105.68

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Solution

The fourth proportional to 8,651.84, 12,977.94 and 3,105.68 is: 4,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.84 : 12,977.94 = 3,105.68 : x
  2. Step 2: Convert to fraction form
    8,651.84/12,977.94 = 3,105.68/x
  3. Step 3: Cross multiply
    8,651.84x = 12,977.94 × 3,105.68
  4. Step 4: Simplify right side
    8,651.84x = 40,305,328.70
  5. Step 5: Solve for x
    x = 40,305,328.70/8,651.84
  6. Step 6: Final answer
    x = 4,658.58

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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.