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Finding the Fourth Proportional to 8,436, 12,652.62 and 3,754.86

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Solution

The fourth proportional to 8,436, 12,652.62 and 3,754.86 is: 5,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 12,652.62 = 3,754.86 : x
  2. Step 2: Convert to fraction form
    8,436/12,652.62 = 3,754.86/x
  3. Step 3: Cross multiply
    8,436x = 12,652.62 × 3,754.86
  4. Step 4: Simplify right side
    8,436x = 47,508,816.73
  5. Step 5: Solve for x
    x = 47,508,816.73/8,436
  6. Step 6: Final answer
    x = 5,631.68

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