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Finding the Fourth Proportional to 8,739, 12,059.70 and 5,202.12

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Solution

The fourth proportional to 8,739, 12,059.70 and 5,202.12 is: 7,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739 : 12,059.70 = 5,202.12 : x
  2. Step 2: Convert to fraction form
    8,739/12,059.70 = 5,202.12/x
  3. Step 3: Cross multiply
    8,739x = 12,059.70 × 5,202.12
  4. Step 4: Simplify right side
    8,739x = 62,736,006.56
  5. Step 5: Solve for x
    x = 62,736,006.56/8,739
  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.