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Finding the Fourth Proportional to 8,138.42, 11,227.70 and 5,304.76

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Solution

The fourth proportional to 8,138.42, 11,227.70 and 5,304.76 is: 7,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.42 : 11,227.70 = 5,304.76 : x
  2. Step 2: Convert to fraction form
    8,138.42/11,227.70 = 5,304.76/x
  3. Step 3: Cross multiply
    8,138.42x = 11,227.70 × 5,304.76
  4. Step 4: Simplify right side
    8,138.42x = 59,560,171.19
  5. Step 5: Solve for x
    x = 59,560,171.19/8,138.42
  6. Step 6: Final answer
    x = 7,318.39

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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.