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Finding the Fourth Proportional to 8,142.49, 12,208.11 and 3,461.35

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Solution

The fourth proportional to 8,142.49, 12,208.11 and 3,461.35 is: 5,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.49 : 12,208.11 = 3,461.35 : x
  2. Step 2: Convert to fraction form
    8,142.49/12,208.11 = 3,461.35/x
  3. Step 3: Cross multiply
    8,142.49x = 12,208.11 × 3,461.35
  4. Step 4: Simplify right side
    8,142.49x = 42,256,541.55
  5. Step 5: Solve for x
    x = 42,256,541.55/8,142.49
  6. Step 6: Final answer
    x = 5,189.63

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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.