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Finding the Fourth Proportional to 11,770.52, 16,241.99 and 6,988.75

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Solution

The fourth proportional to 11,770.52, 16,241.99 and 6,988.75 is: 9,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.52 : 16,241.99 = 6,988.75 : x
  2. Step 2: Convert to fraction form
    11,770.52/16,241.99 = 6,988.75/x
  3. Step 3: Cross multiply
    11,770.52x = 16,241.99 × 6,988.75
  4. Step 4: Simplify right side
    11,770.52x = 113,511,132.06
  5. Step 5: Solve for x
    x = 113,511,132.06/11,770.52
  6. Step 6: Final answer
    x = 9,643.68

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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.