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Finding the Fourth Proportional to 8,309.69, 11,467.51 and 4,532.86

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Solution

The fourth proportional to 8,309.69, 11,467.51 and 4,532.86 is: 6,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.69 : 11,467.51 = 4,532.86 : x
  2. Step 2: Convert to fraction form
    8,309.69/11,467.51 = 4,532.86/x
  3. Step 3: Cross multiply
    8,309.69x = 11,467.51 × 4,532.86
  4. Step 4: Simplify right side
    8,309.69x = 51,980,617.38
  5. Step 5: Solve for x
    x = 51,980,617.38/8,309.69
  6. Step 6: Final answer
    x = 6,255.42

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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.