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Finding the Fourth Proportional to 7,744.70, 11,615.33 and 2,196.81

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Solution

The fourth proportional to 7,744.70, 11,615.33 and 2,196.81 is: 3,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.70 : 11,615.33 = 2,196.81 : x
  2. Step 2: Convert to fraction form
    7,744.70/11,615.33 = 2,196.81/x
  3. Step 3: Cross multiply
    7,744.70x = 11,615.33 × 2,196.81
  4. Step 4: Simplify right side
    7,744.70x = 25,516,662.11
  5. Step 5: Solve for x
    x = 25,516,662.11/7,744.70
  6. Step 6: Final answer
    x = 3,294.73

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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.