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Finding the Fourth Proportional to 10,729.80, 16,095.06 and 3,334.20

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Solution

The fourth proportional to 10,729.80, 16,095.06 and 3,334.20 is: 5,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.80 : 16,095.06 = 3,334.20 : x
  2. Step 2: Convert to fraction form
    10,729.80/16,095.06 = 3,334.20/x
  3. Step 3: Cross multiply
    10,729.80x = 16,095.06 × 3,334.20
  4. Step 4: Simplify right side
    10,729.80x = 53,664,149.05
  5. Step 5: Solve for x
    x = 53,664,149.05/10,729.80
  6. Step 6: Final answer
    x = 5,001.41

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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.