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Finding the Fourth Proportional to 8,142.73, 12,213.05 and 3,461.87

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Solution

The fourth proportional to 8,142.73, 12,213.05 and 3,461.87 is: 5,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.73 : 12,213.05 = 3,461.87 : x
  2. Step 2: Convert to fraction form
    8,142.73/12,213.05 = 3,461.87/x
  3. Step 3: Cross multiply
    8,142.73x = 12,213.05 × 3,461.87
  4. Step 4: Simplify right side
    8,142.73x = 42,280,004.63
  5. Step 5: Solve for x
    x = 42,280,004.63/8,142.73
  6. Step 6: Final answer
    x = 5,192.36

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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.