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Finding the Fourth Proportional to 7,591.34, 11,389.24 and 3,896.15

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Solution

The fourth proportional to 7,591.34, 11,389.24 and 3,896.15 is: 5,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.34 : 11,389.24 = 3,896.15 : x
  2. Step 2: Convert to fraction form
    7,591.34/11,389.24 = 3,896.15/x
  3. Step 3: Cross multiply
    7,591.34x = 11,389.24 × 3,896.15
  4. Step 4: Simplify right side
    7,591.34x = 44,374,187.43
  5. Step 5: Solve for x
    x = 44,374,187.43/7,591.34
  6. Step 6: Final answer
    x = 5,845.37

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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.