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Finding the Fourth Proportional to 10,720.14, 16,078.78 and 6,759.64

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Solution

The fourth proportional to 10,720.14, 16,078.78 and 6,759.64 is: 10,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.14 : 16,078.78 = 6,759.64 : x
  2. Step 2: Convert to fraction form
    10,720.14/16,078.78 = 6,759.64/x
  3. Step 3: Cross multiply
    10,720.14x = 16,078.78 × 6,759.64
  4. Step 4: Simplify right side
    10,720.14x = 108,686,764.44
  5. Step 5: Solve for x
    x = 108,686,764.44/10,720.14
  6. Step 6: Final answer
    x = 10,138.56

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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.