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Finding the Fourth Proportional to 11,977.98, 16,529.61 and 6,945.13

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Solution

The fourth proportional to 11,977.98, 16,529.61 and 6,945.13 is: 9,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.98 : 16,529.61 = 6,945.13 : x
  2. Step 2: Convert to fraction form
    11,977.98/16,529.61 = 6,945.13/x
  3. Step 3: Cross multiply
    11,977.98x = 16,529.61 × 6,945.13
  4. Step 4: Simplify right side
    11,977.98x = 114,800,290.30
  5. Step 5: Solve for x
    x = 114,800,290.30/11,977.98
  6. Step 6: Final answer
    x = 9,584.28

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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.