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Finding the Fourth Proportional to 8,279.20, 11,429.53 and 6,386.54

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Solution

The fourth proportional to 8,279.20, 11,429.53 and 6,386.54 is: 8,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.20 : 11,429.53 = 6,386.54 : x
  2. Step 2: Convert to fraction form
    8,279.20/11,429.53 = 6,386.54/x
  3. Step 3: Cross multiply
    8,279.20x = 11,429.53 × 6,386.54
  4. Step 4: Simplify right side
    8,279.20x = 72,995,150.53
  5. Step 5: Solve for x
    x = 72,995,150.53/8,279.20
  6. Step 6: Final answer
    x = 8,816.69

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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.