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Finding the Fourth Proportional to 7,591.06, 11,383.84 and 3,208.85

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Solution

The fourth proportional to 7,591.06, 11,383.84 and 3,208.85 is: 4,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.06 : 11,383.84 = 3,208.85 : x
  2. Step 2: Convert to fraction form
    7,591.06/11,383.84 = 3,208.85/x
  3. Step 3: Cross multiply
    7,591.06x = 11,383.84 × 3,208.85
  4. Step 4: Simplify right side
    7,591.06x = 36,529,034.98
  5. Step 5: Solve for x
    x = 36,529,034.98/7,591.06
  6. Step 6: Final answer
    x = 4,812.11

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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.