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Finding the Fourth Proportional to 8,007.44, 12,002.84 and 3,330

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Solution

The fourth proportional to 8,007.44, 12,002.84 and 3,330 is: 4,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.44 : 12,002.84 = 3,330 : x
  2. Step 2: Convert to fraction form
    8,007.44/12,002.84 = 3,330/x
  3. Step 3: Cross multiply
    8,007.44x = 12,002.84 × 3,330
  4. Step 4: Simplify right side
    8,007.44x = 39,969,457.20
  5. Step 5: Solve for x
    x = 39,969,457.20/8,007.44
  6. Step 6: Final answer
    x = 4,991.54

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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.