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Finding the Fourth Proportional to 8,002, 11,042.72 and 4,465

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Solution

The fourth proportional to 8,002, 11,042.72 and 4,465 is: 6,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002 : 11,042.72 = 4,465 : x
  2. Step 2: Convert to fraction form
    8,002/11,042.72 = 4,465/x
  3. Step 3: Cross multiply
    8,002x = 11,042.72 × 4,465
  4. Step 4: Simplify right side
    8,002x = 49,305,744.80
  5. Step 5: Solve for x
    x = 49,305,744.80/8,002
  6. Step 6: Final answer
    x = 6,161.68

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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.