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Finding the Fourth Proportional to 8,738.73, 12,059.46 and 5,202.06

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Solution

The fourth proportional to 8,738.73, 12,059.46 and 5,202.06 is: 7,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.73 : 12,059.46 = 5,202.06 : x
  2. Step 2: Convert to fraction form
    8,738.73/12,059.46 = 5,202.06/x
  3. Step 3: Cross multiply
    8,738.73x = 12,059.46 × 5,202.06
  4. Step 4: Simplify right side
    8,738.73x = 62,734,034.49
  5. Step 5: Solve for x
    x = 62,734,034.49/8,738.73
  6. Step 6: Final answer
    x = 7,178.85

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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.