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Finding the Fourth Proportional to 8,181.63, 12,267.51 and 3,677.86

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Solution

The fourth proportional to 8,181.63, 12,267.51 and 3,677.86 is: 5,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.63 : 12,267.51 = 3,677.86 : x
  2. Step 2: Convert to fraction form
    8,181.63/12,267.51 = 3,677.86/x
  3. Step 3: Cross multiply
    8,181.63x = 12,267.51 × 3,677.86
  4. Step 4: Simplify right side
    8,181.63x = 45,118,184.33
  5. Step 5: Solve for x
    x = 45,118,184.33/8,181.63
  6. Step 6: Final answer
    x = 5,514.57

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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.