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Finding the Fourth Proportional to 11,332.26, 17,002 and 4,756.68

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Solution

The fourth proportional to 11,332.26, 17,002 and 4,756.68 is: 7,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.26 : 17,002 = 4,756.68 : x
  2. Step 2: Convert to fraction form
    11,332.26/17,002 = 4,756.68/x
  3. Step 3: Cross multiply
    11,332.26x = 17,002 × 4,756.68
  4. Step 4: Simplify right side
    11,332.26x = 80,873,073.36
  5. Step 5: Solve for x
    x = 80,873,073.36/11,332.26
  6. Step 6: Final answer
    x = 7,136.54

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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.