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Finding the Fourth Proportional to 10,892.66, 16,338.94 and 7,194

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Solution

The fourth proportional to 10,892.66, 16,338.94 and 7,194 is: 10,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.66 : 16,338.94 = 7,194 : x
  2. Step 2: Convert to fraction form
    10,892.66/16,338.94 = 7,194/x
  3. Step 3: Cross multiply
    10,892.66x = 16,338.94 × 7,194
  4. Step 4: Simplify right side
    10,892.66x = 117,542,334.36
  5. Step 5: Solve for x
    x = 117,542,334.36/10,892.66
  6. Step 6: Final answer
    x = 10,790.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.