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Finding the Fourth Proportional to 8,416.62, 12,624.03 and 3,736.71

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Solution

The fourth proportional to 8,416.62, 12,624.03 and 3,736.71 is: 5,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.62 : 12,624.03 = 3,736.71 : x
  2. Step 2: Convert to fraction form
    8,416.62/12,624.03 = 3,736.71/x
  3. Step 3: Cross multiply
    8,416.62x = 12,624.03 × 3,736.71
  4. Step 4: Simplify right side
    8,416.62x = 47,172,339.14
  5. Step 5: Solve for x
    x = 47,172,339.14/8,416.62
  6. Step 6: Final answer
    x = 5,604.67

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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.