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Finding the Fourth Proportional to 13,377.38, 18,461.45 and 8,072.11

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Solution

The fourth proportional to 13,377.38, 18,461.45 and 8,072.11 is: 11,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.38 : 18,461.45 = 8,072.11 : x
  2. Step 2: Convert to fraction form
    13,377.38/18,461.45 = 8,072.11/x
  3. Step 3: Cross multiply
    13,377.38x = 18,461.45 × 8,072.11
  4. Step 4: Simplify right side
    13,377.38x = 149,022,722.49
  5. Step 5: Solve for x
    x = 149,022,722.49/13,377.38
  6. Step 6: Final answer
    x = 11,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.