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Finding the Fourth Proportional to 11,661.66, 16,073.82 and 8,254.26

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Solution

The fourth proportional to 11,661.66, 16,073.82 and 8,254.26 is: 11,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.66 : 16,073.82 = 8,254.26 : x
  2. Step 2: Convert to fraction form
    11,661.66/16,073.82 = 8,254.26/x
  3. Step 3: Cross multiply
    11,661.66x = 16,073.82 × 8,254.26
  4. Step 4: Simplify right side
    11,661.66x = 132,677,489.47
  5. Step 5: Solve for x
    x = 132,677,489.47/11,661.66
  6. Step 6: Final answer
    x = 11,377.24

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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.