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Finding the Fourth Proportional to 10,700.64, 16,046.96 and 3,679.20

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Solution

The fourth proportional to 10,700.64, 16,046.96 and 3,679.20 is: 5,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.64 : 16,046.96 = 3,679.20 : x
  2. Step 2: Convert to fraction form
    10,700.64/16,046.96 = 3,679.20/x
  3. Step 3: Cross multiply
    10,700.64x = 16,046.96 × 3,679.20
  4. Step 4: Simplify right side
    10,700.64x = 59,039,975.23
  5. Step 5: Solve for x
    x = 59,039,975.23/10,700.64
  6. Step 6: Final answer
    x = 5,517.42

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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.