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Finding the Fourth Proportional to 6,007.68, 8,286.03 and 5,169.80

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Solution

The fourth proportional to 6,007.68, 8,286.03 and 5,169.80 is: 7,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.68 : 8,286.03 = 5,169.80 : x
  2. Step 2: Convert to fraction form
    6,007.68/8,286.03 = 5,169.80/x
  3. Step 3: Cross multiply
    6,007.68x = 8,286.03 × 5,169.80
  4. Step 4: Simplify right side
    6,007.68x = 42,837,076.46
  5. Step 5: Solve for x
    x = 42,837,076.46/6,007.68
  6. Step 6: Final answer
    x = 7,130.39

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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.