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Finding the Fourth Proportional to 8,380.41, 12,577.90 and 5,461.98

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Solution

The fourth proportional to 8,380.41, 12,577.90 and 5,461.98 is: 8,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.41 : 12,577.90 = 5,461.98 : x
  2. Step 2: Convert to fraction form
    8,380.41/12,577.90 = 5,461.98/x
  3. Step 3: Cross multiply
    8,380.41x = 12,577.90 × 5,461.98
  4. Step 4: Simplify right side
    8,380.41x = 68,700,238.24
  5. Step 5: Solve for x
    x = 68,700,238.24/8,380.41
  6. Step 6: Final answer
    x = 8,197.72

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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.