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Finding the Fourth Proportional to 7,685.92, 11,529.34 and 2,755.44

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Solution

The fourth proportional to 7,685.92, 11,529.34 and 2,755.44 is: 4,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.92 : 11,529.34 = 2,755.44 : x
  2. Step 2: Convert to fraction form
    7,685.92/11,529.34 = 2,755.44/x
  3. Step 3: Cross multiply
    7,685.92x = 11,529.34 × 2,755.44
  4. Step 4: Simplify right side
    7,685.92x = 31,768,404.61
  5. Step 5: Solve for x
    x = 31,768,404.61/7,685.92
  6. Step 6: Final answer
    x = 4,133.32

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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.