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Finding the Fourth Proportional to 7,768.25, 11,644.24 and 3,384.53

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Solution

The fourth proportional to 7,768.25, 11,644.24 and 3,384.53 is: 5,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.25 : 11,644.24 = 3,384.53 : x
  2. Step 2: Convert to fraction form
    7,768.25/11,644.24 = 3,384.53/x
  3. Step 3: Cross multiply
    7,768.25x = 11,644.24 × 3,384.53
  4. Step 4: Simplify right side
    7,768.25x = 39,410,279.61
  5. Step 5: Solve for x
    x = 39,410,279.61/7,768.25
  6. Step 6: Final answer
    x = 5,073.25

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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.