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Finding the Fourth Proportional to 11,908.26, 16,423.92 and 7,659.81

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Solution

The fourth proportional to 11,908.26, 16,423.92 and 7,659.81 is: 10,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.26 : 16,423.92 = 7,659.81 : x
  2. Step 2: Convert to fraction form
    11,908.26/16,423.92 = 7,659.81/x
  3. Step 3: Cross multiply
    11,908.26x = 16,423.92 × 7,659.81
  4. Step 4: Simplify right side
    11,908.26x = 125,804,106.66
  5. Step 5: Solve for x
    x = 125,804,106.66/11,908.26
  6. Step 6: Final answer
    x = 10,564.44

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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.