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Finding the Fourth Proportional to 7,872.48, 11,801.04 and 3,491.04

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Solution

The fourth proportional to 7,872.48, 11,801.04 and 3,491.04 is: 5,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.48 : 11,801.04 = 3,491.04 : x
  2. Step 2: Convert to fraction form
    7,872.48/11,801.04 = 3,491.04/x
  3. Step 3: Cross multiply
    7,872.48x = 11,801.04 × 3,491.04
  4. Step 4: Simplify right side
    7,872.48x = 41,197,902.68
  5. Step 5: Solve for x
    x = 41,197,902.68/7,872.48
  6. Step 6: Final answer
    x = 5,233.15

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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.