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Finding the Fourth Proportional to 8,624.96, 12,939.82 and 3,434.48

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Solution

The fourth proportional to 8,624.96, 12,939.82 and 3,434.48 is: 5,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.96 : 12,939.82 = 3,434.48 : x
  2. Step 2: Convert to fraction form
    8,624.96/12,939.82 = 3,434.48/x
  3. Step 3: Cross multiply
    8,624.96x = 12,939.82 × 3,434.48
  4. Step 4: Simplify right side
    8,624.96x = 44,441,552.99
  5. Step 5: Solve for x
    x = 44,441,552.99/8,624.96
  6. Step 6: Final answer
    x = 5,152.67

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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.