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Finding the Fourth Proportional to 13,105.34, 18,086.19 and 7,800.38

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Solution

The fourth proportional to 13,105.34, 18,086.19 and 7,800.38 is: 10,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.34 : 18,086.19 = 7,800.38 : x
  2. Step 2: Convert to fraction form
    13,105.34/18,086.19 = 7,800.38/x
  3. Step 3: Cross multiply
    13,105.34x = 18,086.19 × 7,800.38
  4. Step 4: Simplify right side
    13,105.34x = 141,079,154.75
  5. Step 5: Solve for x
    x = 141,079,154.75/13,105.34
  6. Step 6: Final answer
    x = 10,765.01

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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.