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Finding the Fourth Proportional to 8,819.14, 13,234.47 and 4,202.50

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Solution

The fourth proportional to 8,819.14, 13,234.47 and 4,202.50 is: 6,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,819.14 : 13,234.47 = 4,202.50 : x
  2. Step 2: Convert to fraction form
    8,819.14/13,234.47 = 4,202.50/x
  3. Step 3: Cross multiply
    8,819.14x = 13,234.47 × 4,202.50
  4. Step 4: Simplify right side
    8,819.14x = 55,617,860.18
  5. Step 5: Solve for x
    x = 55,617,860.18/8,819.14
  6. Step 6: Final answer
    x = 6,306.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.