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Finding the Fourth Proportional to 7,748.50, 11,624.20 and 3,644.50

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Solution

The fourth proportional to 7,748.50, 11,624.20 and 3,644.50 is: 5,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.50 : 11,624.20 = 3,644.50 : x
  2. Step 2: Convert to fraction form
    7,748.50/11,624.20 = 3,644.50/x
  3. Step 3: Cross multiply
    7,748.50x = 11,624.20 × 3,644.50
  4. Step 4: Simplify right side
    7,748.50x = 42,364,396.90
  5. Step 5: Solve for x
    x = 42,364,396.90/7,748.50
  6. Step 6: Final answer
    x = 5,467.43

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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.