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Finding the Fourth Proportional to 11,665.21, 16,108.05 and 10,003.09

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Solution

The fourth proportional to 11,665.21, 16,108.05 and 10,003.09 is: 13,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.21 : 16,108.05 = 10,003.09 : x
  2. Step 2: Convert to fraction form
    11,665.21/16,108.05 = 10,003.09/x
  3. Step 3: Cross multiply
    11,665.21x = 16,108.05 × 10,003.09
  4. Step 4: Simplify right side
    11,665.21x = 161,130,273.87
  5. Step 5: Solve for x
    x = 161,130,273.87/11,665.21
  6. Step 6: Final answer
    x = 13,812.89

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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.