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Finding the Fourth Proportional to 8,659.85, 12,977.82 and 3,968.19

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Solution

The fourth proportional to 8,659.85, 12,977.82 and 3,968.19 is: 5,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.85 : 12,977.82 = 3,968.19 : x
  2. Step 2: Convert to fraction form
    8,659.85/12,977.82 = 3,968.19/x
  3. Step 3: Cross multiply
    8,659.85x = 12,977.82 × 3,968.19
  4. Step 4: Simplify right side
    8,659.85x = 51,498,455.55
  5. Step 5: Solve for x
    x = 51,498,455.55/8,659.85
  6. Step 6: Final answer
    x = 5,946.81

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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.