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Finding the Fourth Proportional to 8,174.88, 11,280.72 and 5,031.36

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Solution

The fourth proportional to 8,174.88, 11,280.72 and 5,031.36 is: 6,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.88 : 11,280.72 = 5,031.36 : x
  2. Step 2: Convert to fraction form
    8,174.88/11,280.72 = 5,031.36/x
  3. Step 3: Cross multiply
    8,174.88x = 11,280.72 × 5,031.36
  4. Step 4: Simplify right side
    8,174.88x = 56,757,363.38
  5. Step 5: Solve for x
    x = 56,757,363.38/8,174.88
  6. Step 6: Final answer
    x = 6,942.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.