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Finding the Fourth Proportional to 11,760.43, 16,228.07 and 6,978.67

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Solution

The fourth proportional to 11,760.43, 16,228.07 and 6,978.67 is: 9,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.43 : 16,228.07 = 6,978.67 : x
  2. Step 2: Convert to fraction form
    11,760.43/16,228.07 = 6,978.67/x
  3. Step 3: Cross multiply
    11,760.43x = 16,228.07 × 6,978.67
  4. Step 4: Simplify right side
    11,760.43x = 113,250,345.27
  5. Step 5: Solve for x
    x = 113,250,345.27/11,760.43
  6. Step 6: Final answer
    x = 9,629.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.