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Finding the Fourth Proportional to 8,029.02, 12,042.99 and 3,412.02

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Solution

The fourth proportional to 8,029.02, 12,042.99 and 3,412.02 is: 5,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.02 : 12,042.99 = 3,412.02 : x
  2. Step 2: Convert to fraction form
    8,029.02/12,042.99 = 3,412.02/x
  3. Step 3: Cross multiply
    8,029.02x = 12,042.99 × 3,412.02
  4. Step 4: Simplify right side
    8,029.02x = 41,090,922.74
  5. Step 5: Solve for x
    x = 41,090,922.74/8,029.02
  6. Step 6: Final answer
    x = 5,117.80

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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.