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Finding the Fourth Proportional to 13,105.38, 18,084.83 and 7,137.03

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Solution

The fourth proportional to 13,105.38, 18,084.83 and 7,137.03 is: 9,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.38 : 18,084.83 = 7,137.03 : x
  2. Step 2: Convert to fraction form
    13,105.38/18,084.83 = 7,137.03/x
  3. Step 3: Cross multiply
    13,105.38x = 18,084.83 × 7,137.03
  4. Step 4: Simplify right side
    13,105.38x = 129,071,938.57
  5. Step 5: Solve for x
    x = 129,071,938.57/13,105.38
  6. Step 6: Final answer
    x = 9,848.77

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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.