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Finding the Fourth Proportional to 8,193.39, 11,310.74 and 5,545.09

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Solution

The fourth proportional to 8,193.39, 11,310.74 and 5,545.09 is: 7,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.39 : 11,310.74 = 5,545.09 : x
  2. Step 2: Convert to fraction form
    8,193.39/11,310.74 = 5,545.09/x
  3. Step 3: Cross multiply
    8,193.39x = 11,310.74 × 5,545.09
  4. Step 4: Simplify right side
    8,193.39x = 62,719,071.27
  5. Step 5: Solve for x
    x = 62,719,071.27/8,193.39
  6. Step 6: Final answer
    x = 7,654.84

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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.