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Finding the Fourth Proportional to 13,103.78, 18,082.80 and 7,135.38

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Solution

The fourth proportional to 13,103.78, 18,082.80 and 7,135.38 is: 9,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.78 : 18,082.80 = 7,135.38 : x
  2. Step 2: Convert to fraction form
    13,103.78/18,082.80 = 7,135.38/x
  3. Step 3: Cross multiply
    13,103.78x = 18,082.80 × 7,135.38
  4. Step 4: Simplify right side
    13,103.78x = 129,027,649.46
  5. Step 5: Solve for x
    x = 129,027,649.46/13,103.78
  6. Step 6: Final answer
    x = 9,846.60

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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.