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Finding the Fourth Proportional to 10,662.13, 15,993.20 and 5,464.69

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Solution

The fourth proportional to 10,662.13, 15,993.20 and 5,464.69 is: 8,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.13 : 15,993.20 = 5,464.69 : x
  2. Step 2: Convert to fraction form
    10,662.13/15,993.20 = 5,464.69/x
  3. Step 3: Cross multiply
    10,662.13x = 15,993.20 × 5,464.69
  4. Step 4: Simplify right side
    10,662.13x = 87,397,852.78
  5. Step 5: Solve for x
    x = 87,397,852.78/10,662.13
  6. Step 6: Final answer
    x = 8,197.04

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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.