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Finding the Fourth Proportional to 8,211.38, 12,312.12 and 3,461.87

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Solution

The fourth proportional to 8,211.38, 12,312.12 and 3,461.87 is: 5,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.38 : 12,312.12 = 3,461.87 : x
  2. Step 2: Convert to fraction form
    8,211.38/12,312.12 = 3,461.87/x
  3. Step 3: Cross multiply
    8,211.38x = 12,312.12 × 3,461.87
  4. Step 4: Simplify right side
    8,211.38x = 42,622,958.86
  5. Step 5: Solve for x
    x = 42,622,958.86/8,211.38
  6. Step 6: Final answer
    x = 5,190.72

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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.