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Finding the Fourth Proportional to 8,117.86, 12,166.98 and 3,951.62

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Solution

The fourth proportional to 8,117.86, 12,166.98 and 3,951.62 is: 5,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.86 : 12,166.98 = 3,951.62 : x
  2. Step 2: Convert to fraction form
    8,117.86/12,166.98 = 3,951.62/x
  3. Step 3: Cross multiply
    8,117.86x = 12,166.98 × 3,951.62
  4. Step 4: Simplify right side
    8,117.86x = 48,079,281.51
  5. Step 5: Solve for x
    x = 48,079,281.51/8,117.86
  6. Step 6: Final answer
    x = 5,922.66

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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.