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Finding the Fourth Proportional to 11,770.80, 16,242.68 and 6,990.39

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Solution

The fourth proportional to 11,770.80, 16,242.68 and 6,990.39 is: 9,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.80 : 16,242.68 = 6,990.39 : x
  2. Step 2: Convert to fraction form
    11,770.80/16,242.68 = 6,990.39/x
  3. Step 3: Cross multiply
    11,770.80x = 16,242.68 × 6,990.39
  4. Step 4: Simplify right side
    11,770.80x = 113,542,632.89
  5. Step 5: Solve for x
    x = 113,542,632.89/11,770.80
  6. Step 6: Final answer
    x = 9,646.13

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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.