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Finding the Fourth Proportional to 8,533.39, 11,769.11 and 7,165.38

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Solution

The fourth proportional to 8,533.39, 11,769.11 and 7,165.38 is: 9,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.39 : 11,769.11 = 7,165.38 : x
  2. Step 2: Convert to fraction form
    8,533.39/11,769.11 = 7,165.38/x
  3. Step 3: Cross multiply
    8,533.39x = 11,769.11 × 7,165.38
  4. Step 4: Simplify right side
    8,533.39x = 84,330,086.57
  5. Step 5: Solve for x
    x = 84,330,086.57/8,533.39
  6. Step 6: Final answer
    x = 9,882.37

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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.