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Finding the Fourth Proportional to 8,420.69, 12,628.51 and 2,872.80

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Solution

The fourth proportional to 8,420.69, 12,628.51 and 2,872.80 is: 4,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.69 : 12,628.51 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    8,420.69/12,628.51 = 2,872.80/x
  3. Step 3: Cross multiply
    8,420.69x = 12,628.51 × 2,872.80
  4. Step 4: Simplify right side
    8,420.69x = 36,279,176.35
  5. Step 5: Solve for x
    x = 36,279,176.35/8,420.69
  6. Step 6: Final answer
    x = 4,308.34

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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.