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Finding the Fourth Proportional to 7,103.81, 10,649.63 and 2,724.41

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Solution

The fourth proportional to 7,103.81, 10,649.63 and 2,724.41 is: 4,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.81 : 10,649.63 = 2,724.41 : x
  2. Step 2: Convert to fraction form
    7,103.81/10,649.63 = 2,724.41/x
  3. Step 3: Cross multiply
    7,103.81x = 10,649.63 × 2,724.41
  4. Step 4: Simplify right side
    7,103.81x = 29,013,912.03
  5. Step 5: Solve for x
    x = 29,013,912.03/7,103.81
  6. Step 6: Final answer
    x = 4,084.28

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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.