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Finding the Fourth Proportional to 12,891.05, 17,790.35 and 7,227.62

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Solution

The fourth proportional to 12,891.05, 17,790.35 and 7,227.62 is: 9,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.05 : 17,790.35 = 7,227.62 : x
  2. Step 2: Convert to fraction form
    12,891.05/17,790.35 = 7,227.62/x
  3. Step 3: Cross multiply
    12,891.05x = 17,790.35 × 7,227.62
  4. Step 4: Simplify right side
    12,891.05x = 128,581,764.38
  5. Step 5: Solve for x
    x = 128,581,764.38/12,891.05
  6. Step 6: Final answer
    x = 9,974.50

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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.