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Finding the Fourth Proportional to 10,744.20, 16,098.78 and 10,334.20

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Solution

The fourth proportional to 10,744.20, 16,098.78 and 10,334.20 is: 15,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.20 : 16,098.78 = 10,334.20 : x
  2. Step 2: Convert to fraction form
    10,744.20/16,098.78 = 10,334.20/x
  3. Step 3: Cross multiply
    10,744.20x = 16,098.78 × 10,334.20
  4. Step 4: Simplify right side
    10,744.20x = 166,368,012.28
  5. Step 5: Solve for x
    x = 166,368,012.28/10,744.20
  6. Step 6: Final answer
    x = 15,484.45

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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.