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Finding the Fourth Proportional to 8,049, 12,065.94 and 2,852.04

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Solution

The fourth proportional to 8,049, 12,065.94 and 2,852.04 is: 4,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049 : 12,065.94 = 2,852.04 : x
  2. Step 2: Convert to fraction form
    8,049/12,065.94 = 2,852.04/x
  3. Step 3: Cross multiply
    8,049x = 12,065.94 × 2,852.04
  4. Step 4: Simplify right side
    8,049x = 34,412,543.52
  5. Step 5: Solve for x
    x = 34,412,543.52/8,049
  6. Step 6: Final answer
    x = 4,275.38

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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.