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Finding the Fourth Proportional to 8,004.04, 12,007.26 and 2,809.50

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Solution

The fourth proportional to 8,004.04, 12,007.26 and 2,809.50 is: 4,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.04 : 12,007.26 = 2,809.50 : x
  2. Step 2: Convert to fraction form
    8,004.04/12,007.26 = 2,809.50/x
  3. Step 3: Cross multiply
    8,004.04x = 12,007.26 × 2,809.50
  4. Step 4: Simplify right side
    8,004.04x = 33,734,396.97
  5. Step 5: Solve for x
    x = 33,734,396.97/8,004.04
  6. Step 6: Final answer
    x = 4,214.67

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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.