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Finding the Fourth Proportional to 7,231.53, 10,846.83 and 2,301.48

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Solution

The fourth proportional to 7,231.53, 10,846.83 and 2,301.48 is: 3,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.53 : 10,846.83 = 2,301.48 : x
  2. Step 2: Convert to fraction form
    7,231.53/10,846.83 = 2,301.48/x
  3. Step 3: Cross multiply
    7,231.53x = 10,846.83 × 2,301.48
  4. Step 4: Simplify right side
    7,231.53x = 24,963,762.31
  5. Step 5: Solve for x
    x = 24,963,762.31/7,231.53
  6. Step 6: Final answer
    x = 3,452.07

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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.