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Finding the Fourth Proportional to 8,094.47, 11,169.38 and 4,691.47

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Solution

The fourth proportional to 8,094.47, 11,169.38 and 4,691.47 is: 6,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.47 : 11,169.38 = 4,691.47 : x
  2. Step 2: Convert to fraction form
    8,094.47/11,169.38 = 4,691.47/x
  3. Step 3: Cross multiply
    8,094.47x = 11,169.38 × 4,691.47
  4. Step 4: Simplify right side
    8,094.47x = 52,400,794.99
  5. Step 5: Solve for x
    x = 52,400,794.99/8,094.47
  6. Step 6: Final answer
    x = 6,473.65

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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.