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Finding the Fourth Proportional to 8,186.72, 12,278.84 and 2,991.38

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Solution

The fourth proportional to 8,186.72, 12,278.84 and 2,991.38 is: 4,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.72 : 12,278.84 = 2,991.38 : x
  2. Step 2: Convert to fraction form
    8,186.72/12,278.84 = 2,991.38/x
  3. Step 3: Cross multiply
    8,186.72x = 12,278.84 × 2,991.38
  4. Step 4: Simplify right side
    8,186.72x = 36,730,600.05
  5. Step 5: Solve for x
    x = 36,730,600.05/8,186.72
  6. Step 6: Final answer
    x = 4,486.61

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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.