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Finding the Fourth Proportional to 8,287.08, 11,435.82 and 4,747.82

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Solution

The fourth proportional to 8,287.08, 11,435.82 and 4,747.82 is: 6,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.08 : 11,435.82 = 4,747.82 : x
  2. Step 2: Convert to fraction form
    8,287.08/11,435.82 = 4,747.82/x
  3. Step 3: Cross multiply
    8,287.08x = 11,435.82 × 4,747.82
  4. Step 4: Simplify right side
    8,287.08x = 54,295,214.91
  5. Step 5: Solve for x
    x = 54,295,214.91/8,287.08
  6. Step 6: Final answer
    x = 6,551.79

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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.