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Finding the Fourth Proportional to 10,802.41, 16,204.97 and 4,227.75

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Solution

The fourth proportional to 10,802.41, 16,204.97 and 4,227.75 is: 6,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.41 : 16,204.97 = 4,227.75 : x
  2. Step 2: Convert to fraction form
    10,802.41/16,204.97 = 4,227.75/x
  3. Step 3: Cross multiply
    10,802.41x = 16,204.97 × 4,227.75
  4. Step 4: Simplify right side
    10,802.41x = 68,510,561.92
  5. Step 5: Solve for x
    x = 68,510,561.92/10,802.41
  6. Step 6: Final answer
    x = 6,342.16

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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.