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Finding the Fourth Proportional to 7,735.68, 11,593.44 and 3,113.28

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Solution

The fourth proportional to 7,735.68, 11,593.44 and 3,113.28 is: 4,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.68 : 11,593.44 = 3,113.28 : x
  2. Step 2: Convert to fraction form
    7,735.68/11,593.44 = 3,113.28/x
  3. Step 3: Cross multiply
    7,735.68x = 11,593.44 × 3,113.28
  4. Step 4: Simplify right side
    7,735.68x = 36,093,624.88
  5. Step 5: Solve for x
    x = 36,093,624.88/7,735.68
  6. Step 6: Final answer
    x = 4,665.86

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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.