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Finding the Fourth Proportional to 13,087.34, 18,062.04 and 7,346.38

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Solution

The fourth proportional to 13,087.34, 18,062.04 and 7,346.38 is: 10,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.34 : 18,062.04 = 7,346.38 : x
  2. Step 2: Convert to fraction form
    13,087.34/18,062.04 = 7,346.38/x
  3. Step 3: Cross multiply
    13,087.34x = 18,062.04 × 7,346.38
  4. Step 4: Simplify right side
    13,087.34x = 132,690,609.42
  5. Step 5: Solve for x
    x = 132,690,609.42/13,087.34
  6. Step 6: Final answer
    x = 10,138.85

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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.