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Finding the Fourth Proportional to 8,461.26, 12,677.45 and 5,991.98

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Solution

The fourth proportional to 8,461.26, 12,677.45 and 5,991.98 is: 8,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.26 : 12,677.45 = 5,991.98 : x
  2. Step 2: Convert to fraction form
    8,461.26/12,677.45 = 5,991.98/x
  3. Step 3: Cross multiply
    8,461.26x = 12,677.45 × 5,991.98
  4. Step 4: Simplify right side
    8,461.26x = 75,962,933.50
  5. Step 5: Solve for x
    x = 75,962,933.50/8,461.26
  6. Step 6: Final answer
    x = 8,977.73

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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.