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Finding the Fourth Proportional to 8,097.73, 11,180.02 and 6,609.19

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Solution

The fourth proportional to 8,097.73, 11,180.02 and 6,609.19 is: 9,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.73 : 11,180.02 = 6,609.19 : x
  2. Step 2: Convert to fraction form
    8,097.73/11,180.02 = 6,609.19/x
  3. Step 3: Cross multiply
    8,097.73x = 11,180.02 × 6,609.19
  4. Step 4: Simplify right side
    8,097.73x = 73,890,876.38
  5. Step 5: Solve for x
    x = 73,890,876.38/8,097.73
  6. Step 6: Final answer
    x = 9,124.89

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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.