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Finding the Fourth Proportional to 7,232.63, 10,845.03 and 3,902.66

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Solution

The fourth proportional to 7,232.63, 10,845.03 and 3,902.66 is: 5,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.63 : 10,845.03 = 3,902.66 : x
  2. Step 2: Convert to fraction form
    7,232.63/10,845.03 = 3,902.66/x
  3. Step 3: Cross multiply
    7,232.63x = 10,845.03 × 3,902.66
  4. Step 4: Simplify right side
    7,232.63x = 42,324,504.91
  5. Step 5: Solve for x
    x = 42,324,504.91/7,232.63
  6. Step 6: Final answer
    x = 5,851.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.