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Finding the Fourth Proportional to 8,782.53, 13,174.49 and 2,542.64

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Solution

The fourth proportional to 8,782.53, 13,174.49 and 2,542.64 is: 3,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.53 : 13,174.49 = 2,542.64 : x
  2. Step 2: Convert to fraction form
    8,782.53/13,174.49 = 2,542.64/x
  3. Step 3: Cross multiply
    8,782.53x = 13,174.49 × 2,542.64
  4. Step 4: Simplify right side
    8,782.53x = 33,497,960.84
  5. Step 5: Solve for x
    x = 33,497,960.84/8,782.53
  6. Step 6: Final answer
    x = 3,814.16

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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.