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Finding the Fourth Proportional to 7,286.55, 10,924.16 and 3,775.20

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Solution

The fourth proportional to 7,286.55, 10,924.16 and 3,775.20 is: 5,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.55 : 10,924.16 = 3,775.20 : x
  2. Step 2: Convert to fraction form
    7,286.55/10,924.16 = 3,775.20/x
  3. Step 3: Cross multiply
    7,286.55x = 10,924.16 × 3,775.20
  4. Step 4: Simplify right side
    7,286.55x = 41,240,869.96
  5. Step 5: Solve for x
    x = 41,240,869.96/7,286.55
  6. Step 6: Final answer
    x = 5,659.86

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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.