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Finding the Fourth Proportional to 10,107.88, 15,150.70 and 5,170.44

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Solution

The fourth proportional to 10,107.88, 15,150.70 and 5,170.44 is: 7,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.88 : 15,150.70 = 5,170.44 : x
  2. Step 2: Convert to fraction form
    10,107.88/15,150.70 = 5,170.44/x
  3. Step 3: Cross multiply
    10,107.88x = 15,150.70 × 5,170.44
  4. Step 4: Simplify right side
    10,107.88x = 78,335,785.31
  5. Step 5: Solve for x
    x = 78,335,785.31/10,107.88
  6. Step 6: Final answer
    x = 7,749.97

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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.