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Finding the Fourth Proportional to 7,231.02, 10,846.53 and 3,775.02

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Solution

The fourth proportional to 7,231.02, 10,846.53 and 3,775.02 is: 5,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.02 : 10,846.53 = 3,775.02 : x
  2. Step 2: Convert to fraction form
    7,231.02/10,846.53 = 3,775.02/x
  3. Step 3: Cross multiply
    7,231.02x = 10,846.53 × 3,775.02
  4. Step 4: Simplify right side
    7,231.02x = 40,945,867.68
  5. Step 5: Solve for x
    x = 40,945,867.68/7,231.02
  6. Step 6: Final answer
    x = 5,662.53

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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.