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Finding the Fourth Proportional to 8,141.16, 12,213.41 and 3,461.16

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Solution

The fourth proportional to 8,141.16, 12,213.41 and 3,461.16 is: 5,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.16 : 12,213.41 = 3,461.16 : x
  2. Step 2: Convert to fraction form
    8,141.16/12,213.41 = 3,461.16/x
  3. Step 3: Cross multiply
    8,141.16x = 12,213.41 × 3,461.16
  4. Step 4: Simplify right side
    8,141.16x = 42,272,548.85
  5. Step 5: Solve for x
    x = 42,272,548.85/8,141.16
  6. Step 6: Final answer
    x = 5,192.45

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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.