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Finding the Fourth Proportional to 8,141.10, 12,213.83 and 3,461.32

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Solution

The fourth proportional to 8,141.10, 12,213.83 and 3,461.32 is: 5,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.10 : 12,213.83 = 3,461.32 : x
  2. Step 2: Convert to fraction form
    8,141.10/12,213.83 = 3,461.32/x
  3. Step 3: Cross multiply
    8,141.10x = 12,213.83 × 3,461.32
  4. Step 4: Simplify right side
    8,141.10x = 42,275,974.06
  5. Step 5: Solve for x
    x = 42,275,974.06/8,141.10
  6. Step 6: Final answer
    x = 5,192.91

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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.