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Finding the Fourth Proportional to 11,666.21, 16,109.43 and 10,004.09

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Solution

The fourth proportional to 11,666.21, 16,109.43 and 10,004.09 is: 13,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.21 : 16,109.43 = 10,004.09 : x
  2. Step 2: Convert to fraction form
    11,666.21/16,109.43 = 10,004.09/x
  3. Step 3: Cross multiply
    11,666.21x = 16,109.43 × 10,004.09
  4. Step 4: Simplify right side
    11,666.21x = 161,160,187.57
  5. Step 5: Solve for x
    x = 161,160,187.57/11,666.21
  6. Step 6: Final answer
    x = 13,814.27

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