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Finding the Fourth Proportional to 11,780.97, 16,258.86 and 6,745.59

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Solution

The fourth proportional to 11,780.97, 16,258.86 and 6,745.59 is: 9,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.97 : 16,258.86 = 6,745.59 : x
  2. Step 2: Convert to fraction form
    11,780.97/16,258.86 = 6,745.59/x
  3. Step 3: Cross multiply
    11,780.97x = 16,258.86 × 6,745.59
  4. Step 4: Simplify right side
    11,780.97x = 109,675,603.43
  5. Step 5: Solve for x
    x = 109,675,603.43/11,780.97
  6. Step 6: Final answer
    x = 9,309.56

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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.