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Finding the Fourth Proportional to 7,546.32, 11,311.56 and 2,614.32

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Solution

The fourth proportional to 7,546.32, 11,311.56 and 2,614.32 is: 3,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.32 : 11,311.56 = 2,614.32 : x
  2. Step 2: Convert to fraction form
    7,546.32/11,311.56 = 2,614.32/x
  3. Step 3: Cross multiply
    7,546.32x = 11,311.56 × 2,614.32
  4. Step 4: Simplify right side
    7,546.32x = 29,572,037.54
  5. Step 5: Solve for x
    x = 29,572,037.54/7,546.32
  6. Step 6: Final answer
    x = 3,918.74

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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.