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Finding the Fourth Proportional to 11,770.86, 16,243.05 and 10,830.45

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Solution

The fourth proportional to 11,770.86, 16,243.05 and 10,830.45 is: 14,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.86 : 16,243.05 = 10,830.45 : x
  2. Step 2: Convert to fraction form
    11,770.86/16,243.05 = 10,830.45/x
  3. Step 3: Cross multiply
    11,770.86x = 16,243.05 × 10,830.45
  4. Step 4: Simplify right side
    11,770.86x = 175,919,540.87
  5. Step 5: Solve for x
    x = 175,919,540.87/11,770.86
  6. Step 6: Final answer
    x = 14,945.34

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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.