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Finding the Fourth Proportional to 12,103.97, 16,701.66 and 6,797.77

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Solution

The fourth proportional to 12,103.97, 16,701.66 and 6,797.77 is: 9,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.97 : 16,701.66 = 6,797.77 : x
  2. Step 2: Convert to fraction form
    12,103.97/16,701.66 = 6,797.77/x
  3. Step 3: Cross multiply
    12,103.97x = 16,701.66 × 6,797.77
  4. Step 4: Simplify right side
    12,103.97x = 113,534,001.54
  5. Step 5: Solve for x
    x = 113,534,001.54/12,103.97
  6. Step 6: Final answer
    x = 9,379.90

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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.