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Finding the Fourth Proportional to 10,744.80, 16,119.92 and 5,200.80

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Solution

The fourth proportional to 10,744.80, 16,119.92 and 5,200.80 is: 7,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.80 : 16,119.92 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    10,744.80/16,119.92 = 5,200.80/x
  3. Step 3: Cross multiply
    10,744.80x = 16,119.92 × 5,200.80
  4. Step 4: Simplify right side
    10,744.80x = 83,836,479.94
  5. Step 5: Solve for x
    x = 83,836,479.94/10,744.80
  6. Step 6: Final answer
    x = 7,802.52

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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.