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Finding the Fourth Proportional to 11,889.64, 16,402.26 and 7,699.24

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Solution

The fourth proportional to 11,889.64, 16,402.26 and 7,699.24 is: 10,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.64 : 16,402.26 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    11,889.64/16,402.26 = 7,699.24/x
  3. Step 3: Cross multiply
    11,889.64x = 16,402.26 × 7,699.24
  4. Step 4: Simplify right side
    11,889.64x = 126,284,936.28
  5. Step 5: Solve for x
    x = 126,284,936.28/11,889.64
  6. Step 6: Final answer
    x = 10,621.43

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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.