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Finding the Fourth Proportional to 8,024.36, 12,024.39 and 5,941.04

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Solution

The fourth proportional to 8,024.36, 12,024.39 and 5,941.04 is: 8,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.36 : 12,024.39 = 5,941.04 : x
  2. Step 2: Convert to fraction form
    8,024.36/12,024.39 = 5,941.04/x
  3. Step 3: Cross multiply
    8,024.36x = 12,024.39 × 5,941.04
  4. Step 4: Simplify right side
    8,024.36x = 71,437,381.97
  5. Step 5: Solve for x
    x = 71,437,381.97/8,024.36
  6. Step 6: Final answer
    x = 8,902.56

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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.