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Finding the Fourth Proportional to 8,092.32, 11,167.80 and 4,555.92

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Solution

The fourth proportional to 8,092.32, 11,167.80 and 4,555.92 is: 6,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.32 : 11,167.80 = 4,555.92 : x
  2. Step 2: Convert to fraction form
    8,092.32/11,167.80 = 4,555.92/x
  3. Step 3: Cross multiply
    8,092.32x = 11,167.80 × 4,555.92
  4. Step 4: Simplify right side
    8,092.32x = 50,879,603.38
  5. Step 5: Solve for x
    x = 50,879,603.38/8,092.32
  6. Step 6: Final answer
    x = 6,287.39

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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.