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Finding the Fourth Proportional to 8,348.82, 11,511.59 and 6,664.83

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Solution

The fourth proportional to 8,348.82, 11,511.59 and 6,664.83 is: 9,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.82 : 11,511.59 = 6,664.83 : x
  2. Step 2: Convert to fraction form
    8,348.82/11,511.59 = 6,664.83/x
  3. Step 3: Cross multiply
    8,348.82x = 11,511.59 × 6,664.83
  4. Step 4: Simplify right side
    8,348.82x = 76,722,790.38
  5. Step 5: Solve for x
    x = 76,722,790.38/8,348.82
  6. Step 6: Final answer
    x = 9,189.66

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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.