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Finding the Fourth Proportional to 10,704.64, 16,062.08 and 3,782.40

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Solution

The fourth proportional to 10,704.64, 16,062.08 and 3,782.40 is: 5,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.64 : 16,062.08 = 3,782.40 : x
  2. Step 2: Convert to fraction form
    10,704.64/16,062.08 = 3,782.40/x
  3. Step 3: Cross multiply
    10,704.64x = 16,062.08 × 3,782.40
  4. Step 4: Simplify right side
    10,704.64x = 60,753,211.39
  5. Step 5: Solve for x
    x = 60,753,211.39/10,704.64
  6. Step 6: Final answer
    x = 5,675.41

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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.