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Finding the Fourth Proportional to 8,169.09, 11,274.57 and 4,585.47

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Solution

The fourth proportional to 8,169.09, 11,274.57 and 4,585.47 is: 6,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.09 : 11,274.57 = 4,585.47 : x
  2. Step 2: Convert to fraction form
    8,169.09/11,274.57 = 4,585.47/x
  3. Step 3: Cross multiply
    8,169.09x = 11,274.57 × 4,585.47
  4. Step 4: Simplify right side
    8,169.09x = 51,699,202.50
  5. Step 5: Solve for x
    x = 51,699,202.50/8,169.09
  6. Step 6: Final answer
    x = 6,328.64

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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.