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Finding the Fourth Proportional to 8,207.72, 11,326.37 and 4,805.47

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Solution

The fourth proportional to 8,207.72, 11,326.37 and 4,805.47 is: 6,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.72 : 11,326.37 = 4,805.47 : x
  2. Step 2: Convert to fraction form
    8,207.72/11,326.37 = 4,805.47/x
  3. Step 3: Cross multiply
    8,207.72x = 11,326.37 × 4,805.47
  4. Step 4: Simplify right side
    8,207.72x = 54,428,478.90
  5. Step 5: Solve for x
    x = 54,428,478.90/8,207.72
  6. Step 6: Final answer
    x = 6,631.38

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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.