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Finding the Fourth Proportional to 7,747.33, 11,614.47 and 3,361.49

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Solution

The fourth proportional to 7,747.33, 11,614.47 and 3,361.49 is: 5,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.33 : 11,614.47 = 3,361.49 : x
  2. Step 2: Convert to fraction form
    7,747.33/11,614.47 = 3,361.49/x
  3. Step 3: Cross multiply
    7,747.33x = 11,614.47 × 3,361.49
  4. Step 4: Simplify right side
    7,747.33x = 39,041,924.76
  5. Step 5: Solve for x
    x = 39,041,924.76/7,747.33
  6. Step 6: Final answer
    x = 5,039.40

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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.