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Finding the Fourth Proportional to 7,568.32, 11,355.74 and 2,889.73

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Solution

The fourth proportional to 7,568.32, 11,355.74 and 2,889.73 is: 4,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.32 : 11,355.74 = 2,889.73 : x
  2. Step 2: Convert to fraction form
    7,568.32/11,355.74 = 2,889.73/x
  3. Step 3: Cross multiply
    7,568.32x = 11,355.74 × 2,889.73
  4. Step 4: Simplify right side
    7,568.32x = 32,815,022.55
  5. Step 5: Solve for x
    x = 32,815,022.55/7,568.32
  6. Step 6: Final answer
    x = 4,335.84

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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.