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Finding the Fourth Proportional to 11,892.97, 17,835.90 and 7,457.37

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Solution

The fourth proportional to 11,892.97, 17,835.90 and 7,457.37 is: 11,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.97 : 17,835.90 = 7,457.37 : x
  2. Step 2: Convert to fraction form
    11,892.97/17,835.90 = 7,457.37/x
  3. Step 3: Cross multiply
    11,892.97x = 17,835.90 × 7,457.37
  4. Step 4: Simplify right side
    11,892.97x = 133,008,950.17
  5. Step 5: Solve for x
    x = 133,008,950.17/11,892.97
  6. Step 6: Final answer
    x = 11,183.83

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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.