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Finding the Fourth Proportional to 8,123.40, 12,180.24 and 3,744.54

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Solution

The fourth proportional to 8,123.40, 12,180.24 and 3,744.54 is: 5,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.40 : 12,180.24 = 3,744.54 : x
  2. Step 2: Convert to fraction form
    8,123.40/12,180.24 = 3,744.54/x
  3. Step 3: Cross multiply
    8,123.40x = 12,180.24 × 3,744.54
  4. Step 4: Simplify right side
    8,123.40x = 45,609,395.89
  5. Step 5: Solve for x
    x = 45,609,395.89/8,123.40
  6. Step 6: Final answer
    x = 5,614.57

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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.