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Finding the Fourth Proportional to 7,533.70, 11,302.35 and 3,634.90

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Solution

The fourth proportional to 7,533.70, 11,302.35 and 3,634.90 is: 5,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.70 : 11,302.35 = 3,634.90 : x
  2. Step 2: Convert to fraction form
    7,533.70/11,302.35 = 3,634.90/x
  3. Step 3: Cross multiply
    7,533.70x = 11,302.35 × 3,634.90
  4. Step 4: Simplify right side
    7,533.70x = 41,082,912.02
  5. Step 5: Solve for x
    x = 41,082,912.02/7,533.70
  6. Step 6: Final answer
    x = 5,453.22

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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.