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Finding the Fourth Proportional to 11,795.01, 17,667 and 5,545.66

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Solution

The fourth proportional to 11,795.01, 17,667 and 5,545.66 is: 8,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.01 : 17,667 = 5,545.66 : x
  2. Step 2: Convert to fraction form
    11,795.01/17,667 = 5,545.66/x
  3. Step 3: Cross multiply
    11,795.01x = 17,667 × 5,545.66
  4. Step 4: Simplify right side
    11,795.01x = 97,975,131.05
  5. Step 5: Solve for x
    x = 97,975,131.05/11,795.01
  6. Step 6: Final answer
    x = 8,306.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.