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Finding the Fourth Proportional to 7,814.98, 11,722.05 and 2,193.03

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Solution

The fourth proportional to 7,814.98, 11,722.05 and 2,193.03 is: 3,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.98 : 11,722.05 = 2,193.03 : x
  2. Step 2: Convert to fraction form
    7,814.98/11,722.05 = 2,193.03/x
  3. Step 3: Cross multiply
    7,814.98x = 11,722.05 × 2,193.03
  4. Step 4: Simplify right side
    7,814.98x = 25,706,849.53
  5. Step 5: Solve for x
    x = 25,706,849.53/7,814.98
  6. Step 6: Final answer
    x = 3,289.43

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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.