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Finding the Fourth Proportional to 8,003.42, 12,005.13 and 2,809.29

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Solution

The fourth proportional to 8,003.42, 12,005.13 and 2,809.29 is: 4,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.42 : 12,005.13 = 2,809.29 : x
  2. Step 2: Convert to fraction form
    8,003.42/12,005.13 = 2,809.29/x
  3. Step 3: Cross multiply
    8,003.42x = 12,005.13 × 2,809.29
  4. Step 4: Simplify right side
    8,003.42x = 33,725,891.66
  5. Step 5: Solve for x
    x = 33,725,891.66/8,003.42
  6. Step 6: Final answer
    x = 4,213.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.