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Finding the Fourth Proportional to 11,625.97, 16,043.17 and 6,320.76

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Solution

The fourth proportional to 11,625.97, 16,043.17 and 6,320.76 is: 8,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.97 : 16,043.17 = 6,320.76 : x
  2. Step 2: Convert to fraction form
    11,625.97/16,043.17 = 6,320.76/x
  3. Step 3: Cross multiply
    11,625.97x = 16,043.17 × 6,320.76
  4. Step 4: Simplify right side
    11,625.97x = 101,405,027.21
  5. Step 5: Solve for x
    x = 101,405,027.21/11,625.97
  6. Step 6: Final answer
    x = 8,722.29

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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.