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Finding the Fourth Proportional to 10,722.70, 16,097.82 and 8,259.22

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Solution

The fourth proportional to 10,722.70, 16,097.82 and 8,259.22 is: 12,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.70 : 16,097.82 = 8,259.22 : x
  2. Step 2: Convert to fraction form
    10,722.70/16,097.82 = 8,259.22/x
  3. Step 3: Cross multiply
    10,722.70x = 16,097.82 × 8,259.22
  4. Step 4: Simplify right side
    10,722.70x = 132,955,436.90
  5. Step 5: Solve for x
    x = 132,955,436.90/10,722.70
  6. Step 6: Final answer
    x = 12,399.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.