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Finding the Fourth Proportional to 11,763.69, 16,233.78 and 6,458.46

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Solution

The fourth proportional to 11,763.69, 16,233.78 and 6,458.46 is: 8,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.69 : 16,233.78 = 6,458.46 : x
  2. Step 2: Convert to fraction form
    11,763.69/16,233.78 = 6,458.46/x
  3. Step 3: Cross multiply
    11,763.69x = 16,233.78 × 6,458.46
  4. Step 4: Simplify right side
    11,763.69x = 104,845,218.78
  5. Step 5: Solve for x
    x = 104,845,218.78/11,763.69
  6. Step 6: Final answer
    x = 8,912.61

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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.