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Finding the Fourth Proportional to 8,424.69, 12,638.37 and 2,802.56

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Solution

The fourth proportional to 8,424.69, 12,638.37 and 2,802.56 is: 4,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.69 : 12,638.37 = 2,802.56 : x
  2. Step 2: Convert to fraction form
    8,424.69/12,638.37 = 2,802.56/x
  3. Step 3: Cross multiply
    8,424.69x = 12,638.37 × 2,802.56
  4. Step 4: Simplify right side
    8,424.69x = 35,419,727.04
  5. Step 5: Solve for x
    x = 35,419,727.04/8,424.69
  6. Step 6: Final answer
    x = 4,204.28

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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.