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Finding the Fourth Proportional to 6,872.33, 10,300.05 and 3,169.42

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Solution

The fourth proportional to 6,872.33, 10,300.05 and 3,169.42 is: 4,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.33 : 10,300.05 = 3,169.42 : x
  2. Step 2: Convert to fraction form
    6,872.33/10,300.05 = 3,169.42/x
  3. Step 3: Cross multiply
    6,872.33x = 10,300.05 × 3,169.42
  4. Step 4: Simplify right side
    6,872.33x = 32,645,184.47
  5. Step 5: Solve for x
    x = 32,645,184.47/6,872.33
  6. Step 6: Final answer
    x = 4,750.24

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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.