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Finding the Fourth Proportional to 11,770.75, 16,243.64 and 6,465.66

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Solution

The fourth proportional to 11,770.75, 16,243.64 and 6,465.66 is: 8,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.75 : 16,243.64 = 6,465.66 : x
  2. Step 2: Convert to fraction form
    11,770.75/16,243.64 = 6,465.66/x
  3. Step 3: Cross multiply
    11,770.75x = 16,243.64 × 6,465.66
  4. Step 4: Simplify right side
    11,770.75x = 105,025,739.86
  5. Step 5: Solve for x
    x = 105,025,739.86/11,770.75
  6. Step 6: Final answer
    x = 8,922.60

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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.