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Finding the Fourth Proportional to 8,029, 12,045.92 and 3,412.36

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Solution

The fourth proportional to 8,029, 12,045.92 and 3,412.36 is: 5,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 12,045.92 = 3,412.36 : x
  2. Step 2: Convert to fraction form
    8,029/12,045.92 = 3,412.36/x
  3. Step 3: Cross multiply
    8,029x = 12,045.92 × 3,412.36
  4. Step 4: Simplify right side
    8,029x = 41,105,015.57
  5. Step 5: Solve for x
    x = 41,105,015.57/8,029
  6. Step 6: Final answer
    x = 5,119.57

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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.