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Finding the Fourth Proportional to 8,311.86, 12,460.91 and 4,146.84

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Solution

The fourth proportional to 8,311.86, 12,460.91 and 4,146.84 is: 6,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.86 : 12,460.91 = 4,146.84 : x
  2. Step 2: Convert to fraction form
    8,311.86/12,460.91 = 4,146.84/x
  3. Step 3: Cross multiply
    8,311.86x = 12,460.91 × 4,146.84
  4. Step 4: Simplify right side
    8,311.86x = 51,673,379.29
  5. Step 5: Solve for x
    x = 51,673,379.29/8,311.86
  6. Step 6: Final answer
    x = 6,216.83

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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.