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Finding the Fourth Proportional to 11,745.11, 16,207.64 and 6,708.33

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Solution

The fourth proportional to 11,745.11, 16,207.64 and 6,708.33 is: 9,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.11 : 16,207.64 = 6,708.33 : x
  2. Step 2: Convert to fraction form
    11,745.11/16,207.64 = 6,708.33/x
  3. Step 3: Cross multiply
    11,745.11x = 16,207.64 × 6,708.33
  4. Step 4: Simplify right side
    11,745.11x = 108,726,164.10
  5. Step 5: Solve for x
    x = 108,726,164.10/11,745.11
  6. Step 6: Final answer
    x = 9,257.15

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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.