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Finding the Fourth Proportional to 11,739.93, 16,201.26 and 6,434.97

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Solution

The fourth proportional to 11,739.93, 16,201.26 and 6,434.97 is: 8,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.93 : 16,201.26 = 6,434.97 : x
  2. Step 2: Convert to fraction form
    11,739.93/16,201.26 = 6,434.97/x
  3. Step 3: Cross multiply
    11,739.93x = 16,201.26 × 6,434.97
  4. Step 4: Simplify right side
    11,739.93x = 104,254,622.06
  5. Step 5: Solve for x
    x = 104,254,622.06/11,739.93
  6. Step 6: Final answer
    x = 8,880.34

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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.