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Finding the Fourth Proportional to 11,763.72, 16,234.20 and 6,458.90

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Solution

The fourth proportional to 11,763.72, 16,234.20 and 6,458.90 is: 8,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.72 : 16,234.20 = 6,458.90 : x
  2. Step 2: Convert to fraction form
    11,763.72/16,234.20 = 6,458.90/x
  3. Step 3: Cross multiply
    11,763.72x = 16,234.20 × 6,458.90
  4. Step 4: Simplify right side
    11,763.72x = 104,854,993.21
  5. Step 5: Solve for x
    x = 104,854,993.21/11,763.72
  6. Step 6: Final answer
    x = 8,913.42

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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.