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Finding the Fourth Proportional to 10,729.40, 16,094.10 and 7,446.20

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Solution

The fourth proportional to 10,729.40, 16,094.10 and 7,446.20 is: 11,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.40 : 16,094.10 = 7,446.20 : x
  2. Step 2: Convert to fraction form
    10,729.40/16,094.10 = 7,446.20/x
  3. Step 3: Cross multiply
    10,729.40x = 16,094.10 × 7,446.20
  4. Step 4: Simplify right side
    10,729.40x = 119,839,887.42
  5. Step 5: Solve for x
    x = 119,839,887.42/10,729.40
  6. Step 6: Final answer
    x = 11,169.30

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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.