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Finding the Fourth Proportional to 8,138.55, 11,231.40 and 4,553.39

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Solution

The fourth proportional to 8,138.55, 11,231.40 and 4,553.39 is: 6,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.55 : 11,231.40 = 4,553.39 : x
  2. Step 2: Convert to fraction form
    8,138.55/11,231.40 = 4,553.39/x
  3. Step 3: Cross multiply
    8,138.55x = 11,231.40 × 4,553.39
  4. Step 4: Simplify right side
    8,138.55x = 51,140,888.29
  5. Step 5: Solve for x
    x = 51,140,888.29/8,138.55
  6. Step 6: Final answer
    x = 6,283.78

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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.