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Finding the Fourth Proportional to 8,116.86, 12,166.29 and 3,729.90

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Solution

The fourth proportional to 8,116.86, 12,166.29 and 3,729.90 is: 5,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.86 : 12,166.29 = 3,729.90 : x
  2. Step 2: Convert to fraction form
    8,116.86/12,166.29 = 3,729.90/x
  3. Step 3: Cross multiply
    8,116.86x = 12,166.29 × 3,729.90
  4. Step 4: Simplify right side
    8,116.86x = 45,379,045.07
  5. Step 5: Solve for x
    x = 45,379,045.07/8,116.86
  6. Step 6: Final answer
    x = 5,590.71

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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.