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Finding the Fourth Proportional to 11,770.44, 16,243.41 and 6,465.48

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Solution

The fourth proportional to 11,770.44, 16,243.41 and 6,465.48 is: 8,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.44 : 16,243.41 = 6,465.48 : x
  2. Step 2: Convert to fraction form
    11,770.44/16,243.41 = 6,465.48/x
  3. Step 3: Cross multiply
    11,770.44x = 16,243.41 × 6,465.48
  4. Step 4: Simplify right side
    11,770.44x = 105,021,442.49
  5. Step 5: Solve for x
    x = 105,021,442.49/11,770.44
  6. Step 6: Final answer
    x = 8,922.47

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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.