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Finding the Fourth Proportional to 13,379.38, 18,463.44 and 7,411.42

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Solution

The fourth proportional to 13,379.38, 18,463.44 and 7,411.42 is: 10,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.38 : 18,463.44 = 7,411.42 : x
  2. Step 2: Convert to fraction form
    13,379.38/18,463.44 = 7,411.42/x
  3. Step 3: Cross multiply
    13,379.38x = 18,463.44 × 7,411.42
  4. Step 4: Simplify right side
    13,379.38x = 136,840,308.48
  5. Step 5: Solve for x
    x = 136,840,308.48/13,379.38
  6. Step 6: Final answer
    x = 10,227.70

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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.