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Finding the Fourth Proportional to 8,042.72, 12,064.92 and 2,199.33

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Solution

The fourth proportional to 8,042.72, 12,064.92 and 2,199.33 is: 3,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.72 : 12,064.92 = 2,199.33 : x
  2. Step 2: Convert to fraction form
    8,042.72/12,064.92 = 2,199.33/x
  3. Step 3: Cross multiply
    8,042.72x = 12,064.92 × 2,199.33
  4. Step 4: Simplify right side
    8,042.72x = 26,534,740.50
  5. Step 5: Solve for x
    x = 26,534,740.50/8,042.72
  6. Step 6: Final answer
    x = 3,299.23

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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.