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Finding the Fourth Proportional to 10,745.64, 16,120.96 and 3,349.70

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Solution

The fourth proportional to 10,745.64, 16,120.96 and 3,349.70 is: 5,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.64 : 16,120.96 = 3,349.70 : x
  2. Step 2: Convert to fraction form
    10,745.64/16,120.96 = 3,349.70/x
  3. Step 3: Cross multiply
    10,745.64x = 16,120.96 × 3,349.70
  4. Step 4: Simplify right side
    10,745.64x = 54,000,379.71
  5. Step 5: Solve for x
    x = 54,000,379.71/10,745.64
  6. Step 6: Final answer
    x = 5,025.33

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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.