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Finding the Fourth Proportional to 8,592.72, 11,867.28 and 6,919.64

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Solution

The fourth proportional to 8,592.72, 11,867.28 and 6,919.64 is: 9,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.72 : 11,867.28 = 6,919.64 : x
  2. Step 2: Convert to fraction form
    8,592.72/11,867.28 = 6,919.64/x
  3. Step 3: Cross multiply
    8,592.72x = 11,867.28 × 6,919.64
  4. Step 4: Simplify right side
    8,592.72x = 82,117,305.38
  5. Step 5: Solve for x
    x = 82,117,305.38/8,592.72
  6. Step 6: Final answer
    x = 9,556.61

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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.